Finding the Third Proportional to 62,166 and 133,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,166 : 133,057.50 = 133,057.50 : x
2. Step 2: Convert to fraction form
   62,166/133,057.50 = 133,057.50/x
3. Step 3: Cross multiply
   62,166x = 133,057.50 × 133,057.50
4. Step 4: Simplify right side
   62,166x = 17,704,298,306.25
5. Step 5: Solve for x
   x = 17,704,298,306.25/62,166
6. Step 6: Final answer
   x = 284,790.69