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Please communicate with the Societies Officer BEFORE you approach any sponsor so they can check with the Marketing department to make sure you're not competing with them for the money! This would almost certainly damage your bid.
Who you should contact when offering a sponsorship proposal varies. Think about the aspect of the business that is going to benefit most from involvement with your society, and then try to get in touch with someone responsible for that aspect of the business.
Approaching companies that have something in common with your society will give you a better chance of obtaining sponsorship, but don't feel constrained solely to companies of a certain field.
You may find that some companies come back to you offering slightly less than you asked for, or they may come back and ask for something else in addition to what you've offered. Whether you take them up on these is up to you, just make sure that whatever you take you are still able to honour your proposal. You should also consider the possibility of offering smaller packages to multiple sponsors, though this may mean more legwork.