I replaced the transaxle pulley, transaxle belt, and idler pullys on a JD 2009 X300. I took pics and wrote the whole process down in case I needed to do it again because there is no info anywhere about it. Not sure if I'm any help, but I attached two pics of the transaxle belt installed as they run thru the idler pulleys. Pics were taken laying on the ground looking up at the bottom of the tractor.
In both pics: the "bottom" of the attached pics are going toward rear of tractor and the "top" of the pic is toward the front, you can see daylight in one of the pics because the seat and gas tank are removed.
Also here are the part numbers that I used.
Transaxle Belt P/N: M144044, transaxle pulley P/N: MIU800783, transaxle idler pully P/N: AM138079 and AM 138080, transaxle spring washer P/N: M87534 this washer goes with the transaxle pulley.