Sarah baked 3 1/2 dozen cookies on Monday. On Tuesday, she baked twice as many cookies as she did on Monday. On Wednesday, she baked 5 dozen cookies. How many cookies did Sarah bake in total over the three days?
On Monday, Sarah baked 3 1/2 dozen cookies, which is equal to 3.5 x 12 = <<3.5*12=42>>42 cookies.
On Tuesday, she baked twice as many cookies as she did on Monday, so she baked 42 x 2 = <<42*2=84>>84 cookies.
On Wednesday, she baked 5 dozen cookies, which is equal to 5 x 12 = <<5*12=60>>60 cookies.
Therefore, Sarah baked a total of 42 + 84 + 60 = <<42+84+60=186>>186 cookies over the three days. Answer: \boxed{186}.