Finding the Third Proportional to 252.56 and 404.16

Step by Step Solution

1. Step 1: Write the proportion equation
   252.56 : 404.16 = 404.16 : x
2. Step 2: Convert to fraction form
   252.56/404.16 = 404.16/x
3. Step 3: Cross multiply
   252.56x = 404.16 × 404.16
4. Step 4: Simplify right side
   252.56x = 163,342.27
5. Step 5: Solve for x
   x = 163,342.27/252.56
6. Step 6: Final answer
   x = 646.74