What is it called when a business owner can create a web profile, and upload their products for sale? What would be the technical term for this?

E-commerce?

The key word I pick up on is "feed". When in the eCommerce world you have different types of feeds, product, category, and reconciliation. It sounds like you have a feed and want someone to broker that feed for you. You may be looking for an eCommerce network willing to take a commission for hosting your "feed" on their network. Allowing you to leverage their exposure in the market through relationships with their affiliates. Of course at the cost of the commission. CAKE offers software to allow you to manage and track performance of these relationships check out http://getcake.com if your just starting out you probably want to do so research about these networks and try to make a relationship that is worth while for bot parties.