Finding the Third Proportional to 152,636.50 and 224,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,636.50 : 224,381.50 = 224,381.50 : x
2. Step 2: Convert to fraction form
   152,636.50/224,381.50 = 224,381.50/x
3. Step 3: Cross multiply
   152,636.50x = 224,381.50 × 224,381.50
4. Step 4: Simplify right side
   152,636.50x = 50,347,057,542.25
5. Step 5: Solve for x
   x = 50,347,057,542.25/152,636.50
6. Step 6: Final answer
   x = 329,849.40