Entry location:
When you're told to go back to your room by the doctor.
When I first found the Xbox 360, I was like "Ahh wow, that's awesome!".
To find the Xbox 360 (along with a copy of a game "Night Springs") all you have to do is walk in the room opposite from you when you're told to go back to your room to start typing (NOTE: This is BEFORE the Anderson brothers start up the riot). Just enter the room and there it is, just standing there along with a copy of the hit TV series in Alan Wake "Night Springs".