First, let's simplify the expression inside the parentheses:
60.4 - 57.6 = 2.8
3.6 + 3.45 = 7.05

Now, multiply these two results together:
2.8 * 7.05 = 19.74

Finally, subtract this result from the initial value:
208.57 - 19.74 = 188.83

So, ((60.4 - 57.6) * (3.6 + 3.45)) is equal to 188.83.