Finding the Third Proportional to 152,692 and 224,472

Step by Step Solution

1. Step 1: Write the proportion equation
   152,692 : 224,472 = 224,472 : x
2. Step 2: Convert to fraction form
   152,692/224,472 = 224,472/x
3. Step 3: Cross multiply
   152,692x = 224,472 × 224,472
4. Step 4: Simplify right side
   152,692x = 50,387,678,784
5. Step 5: Solve for x
   x = 50,387,678,784/152,692
6. Step 6: Final answer
   x = 329,995.54