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You need a certain air mass to support your car. You can get that mass either in a small tire under high pressure, or you can get it in a larger tire (and subsequent larger volume) with lower pressure, but still holding the same total mass. All other things being equal, pressure and volume are inversely proportional. Yay, science.
Your larger (wider) tire now has more volume than the stock tires. There are other variables to consider, such as differences in construction and compound, but generally speaking, you'll likely need less pressure for the tire to work correctly. Now, if you have a 245 squeezed onto a 7 inch rim, then you'll need more air pressure to help support the tire from rolling over when cornering than you would if the tire were mounted on a more optimally sized rim, but for just pure load-carrying capacity, the tires will need less pressure. Get some chalk and experiment.
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