Finding the Third Proportional to 152,414 and 231,660.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,414 : 231,660.50 = 231,660.50 : x
2. Step 2: Convert to fraction form
   152,414/231,660.50 = 231,660.50/x
3. Step 3: Cross multiply
   152,414x = 231,660.50 × 231,660.50
4. Step 4: Simplify right side
   152,414x = 53,666,587,260.25
5. Step 5: Solve for x
   x = 53,666,587,260.25/152,414
6. Step 6: Final answer
   x = 352,110.61