I would suggest shooting some other loads at 200 -- maybe some commercial rounds. If ANY load shoots an acceptable group at 200, then your problem is clearly your load and not your rifle or your sighting system or your own marksmanship. I surmise that your load is the culprit, because everything works at 100.
What could be the problem with your load? This is not my area of expertise, but as others say it could be your bullet and/or your rate of twist in your rifle barrel. Are the holes at 200 in the target all perfectly round or are they elliptical or oddly shaped? If a bullet is not stabilized, it will knuckleball somewhat like you see a thrown football do sometimes. If that happens, the trajectory of the bullet will be perturbed. If the bullet is not going through the paper with the right angle, its hole will not be circular but may be elliptical or elongated.
Wind errors will be greater at longer ranges too. And the error is not proportional. If you are off by 1 inch because of wind at 100 yards, that does NOT mean you should expect to be off by 2 inches at 200, you would expect more influence. It is an accleration thing.