Finding the Third Proportional to 152,625 and 233,491.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,625 : 233,491.50 = 233,491.50 : x
2. Step 2: Convert to fraction form
   152,625/233,491.50 = 233,491.50/x
3. Step 3: Cross multiply
   152,625x = 233,491.50 × 233,491.50
4. Step 4: Simplify right side
   152,625x = 54,518,280,572.25
5. Step 5: Solve for x
   x = 54,518,280,572.25/152,625
6. Step 6: Final answer
   x = 357,204.13