Where is the cylinoid located on a sportser?

Depends on the year, but basicaly, there will be a large wire/cable comming off the starter, follow that as it goes DIRECTLY to the selinoid...

on the selinoid, you will see another large wire/cable..that goes directly to the POS on the battery..so...you can also follow the large cable comming off the POS battery post, and find the selinoid...