Finding the Third Proportional to 152,632.50 and 224,375

Step by Step Solution

1. Step 1: Write the proportion equation
   152,632.50 : 224,375 = 224,375 : x
2. Step 2: Convert to fraction form
   152,632.50/224,375 = 224,375/x
3. Step 3: Cross multiply
   152,632.50x = 224,375 × 224,375
4. Step 4: Simplify right side
   152,632.50x = 50,344,140,625
5. Step 5: Solve for x
   x = 50,344,140,625/152,632.50
6. Step 6: Final answer
   x = 329,838.93