Finding the Third Proportional to 152,647.50 and 233,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,647.50 : 233,516.50 = 233,516.50 : x
2. Step 2: Convert to fraction form
   152,647.50/233,516.50 = 233,516.50/x
3. Step 3: Cross multiply
   152,647.50x = 233,516.50 × 233,516.50
4. Step 4: Simplify right side
   152,647.50x = 54,529,955,772.25
5. Step 5: Solve for x
   x = 54,529,955,772.25/152,647.50
6. Step 6: Final answer
   x = 357,227.96