Finding the Third Proportional to 152,937 and 233,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,937 : 233,293.50 = 233,293.50 : x
2. Step 2: Convert to fraction form
   152,937/233,293.50 = 233,293.50/x
3. Step 3: Cross multiply
   152,937x = 233,293.50 × 233,293.50
4. Step 4: Simplify right side
   152,937x = 54,425,857,142.25
5. Step 5: Solve for x
   x = 54,425,857,142.25/152,937
6. Step 6: Final answer
   x = 355,871.09