Finding the Third Proportional to 62.51 and 128.53

Step by Step Solution

1. Step 1: Write the proportion equation
   62.51 : 128.53 = 128.53 : x
2. Step 2: Convert to fraction form
   62.51/128.53 = 128.53/x
3. Step 3: Cross multiply
   62.51x = 128.53 × 128.53
4. Step 4: Simplify right side
   62.51x = 16,520.28
5. Step 5: Solve for x
   x = 16,520.28/62.51
6. Step 6: Final answer
   x = 264.29