your wishes arent easily accomplished when trying to connect two receivers.
most '2nd audio' output is a simple A/B switch.
that means you can have audio playing upstairs or downstairs.. only one at a time.
obvious solutions, look for an output on the receiver upstairs that isnt a speaker output.
if that doesnt exist, you need to get the xm player signal downstairs.
your best bet is probably using one of those FM modulators that connect to the xm player and sends out an FM signal that can be picked up by both receivers FM tuner.
this sucks because your signal to noise ratio will probably go down (but that might change if the FM signal is close enough)
sometimes simply turning the radio knob to FM tuner is enough to drop the signal to noise ratio.. regardless of how clear the FM signal is.
does the receiver upstairs have an internal xm player?
because that would make things worse.
you could probably get an adaptor to split the output of the xm player, sending one pair of wires to the radio upstairs and the other pair of wires to the receiver downstairs.
i dont have much experience with xm player options available.
but industry standards tell me that you can split the signal with cords or conceive a wireless signal.
i am worried that using too much wire from the output of the xm player might be too much resistance.
maybe you could do something like this...
get yourself some kind of wireless speaker kit.
plug the wireless transmitter into the xm radio.. then tear apart the wireless speaker and use those speaker wires to feed into the receiver's preamp inputs.
you gotta keep the wireless speaker volume down so you dont overdrive the inputs.
but the sound quality from the wireless speaker amplifier might alter the sound.
maybe you can look into wireless distribution for general use.
i'm sure they have kits or you could build one yourself if you have some instructions.
sorry.. the answer isnt easy because your situation is rare.
from the experience i have.. i would say just run an adaptor to split the signal.
keep the xm radio close to one receiver to keep the wires short, then use a car audio line driver on the longer run of cord going downstairs.
you probably want to connect that line driver close to the xm radio to keep the cords short.
hopefully that will keep the resistance of the extra pair of cords down enough to not put any excessive load on the output of the xm radio.
the line driver will boost the electricity on the cord going downstairs.
because the longer the cord gets, the lower the electricity will be at the other end of the cord.
if you boost the electricity, it will be higher at the end of the cord.
but be careful.. dont use the highest boost setting at first.
start with the lowest setting and work your way up.
you dont want to send 7 volts into the receiver inputs if the receiver inputs can only handle 2v - 5v
the line driver is supposed to disconnect the signal between the long run of cord and the cord going to the xm radio.
that will dramatically change the overall resistence (load) on the output of the xm radio.
home audio preamps that disconnect the connection internally might work too if they send enough electricity down the long run of cord.
but they arent designed to be a line driver.
line drivers take the preamp voltage and increase it.
car audio and studio enthusiasts have been doing it for many years to 'overclock' their systems.
i had a kicker amplifer in my trunk and added an epicenter (which is a bass DSP and line driver)
the output from the amplifier quadroupled..!