Generally speaking, you will need an ultra short throw projector setup, and for that size, you would typically use a commercial projector with a ultra short throw lens. Panasonic, Epson, Christie, and others make such a product. Unfortunately, the UST lens is about $5,000. If trying to hit a budget, I might look for a used ultra short throw lens on eBay, then look for a projector that goes with it via eBay as well.

Not sure what your overall final needs are, but this can't be done 'new', with any real quality, for the budget.

Please note, you will need a properly 'flat' screen for this to work. Any issues with the screen being flat will show themselves as massive distortion to the image.

I promise you’ll like the picture this thing puts out. The 3D rocks too. Seriously you need only put the thing 6-7 feet away and you’ll experience laser light and great color. You can only mount it on a table to though. But if you want an outstanding picture 200” from a short distance, this is an unexpected gem.