Finding the Third Proportional to 414.49 and 457.52

Step by Step Solution

1. Step 1: Write the proportion equation
   414.49 : 457.52 = 457.52 : x
2. Step 2: Convert to fraction form
   414.49/457.52 = 457.52/x
3. Step 3: Cross multiply
   414.49x = 457.52 × 457.52
4. Step 4: Simplify right side
   414.49x = 209,327.70
5. Step 5: Solve for x
   x = 209,327.70/414.49
6. Step 6: Final answer
   x = 505.02