Finding the Third Proportional to 152,416 and 231,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,416 : 231,663.50 = 231,663.50 : x
2. Step 2: Convert to fraction form
   152,416/231,663.50 = 231,663.50/x
3. Step 3: Cross multiply
   152,416x = 231,663.50 × 231,663.50
4. Step 4: Simplify right side
   152,416x = 53,667,977,232.25
5. Step 5: Solve for x
   x = 53,667,977,232.25/152,416
6. Step 6: Final answer
   x = 352,115.11