Big Co$.,$ a construction company, has a contract to build a grocery store. The contract calls for a final price of $$5$ million. Big Co$.$ incurred $$4\mathrm{.}5$ million in costs and stands to make a profit of $$500,000.$ On a final inspection, the grocery store owner is upset. His blueprints called for $24$ skylights, but the finished building has only $12.$ Installing the additional skylights would cost $$100,000.$ Big Co$.$ made no other errors. How much must the grocery store owner pay Big Co$.?$