We want to find $(99.5)^2$. We can rewrite this as $(100 - 0.5)^2$. Now we can use the identity $(a - b)^2 = a^2 - 2ab + b^2$.
So, $(100 - 0.5)^2 = 100^2 - 2(100)(0.5) + (0.5)^2$.
Calculating each term, we get $10000 - 100 + 0.25 = 9900 + 0.25 = 9900.25$.
So,
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