Finding the Third Proportional to 152,624 and 233,472

Step by Step Solution

1. Step 1: Write the proportion equation
   152,624 : 233,472 = 233,472 : x
2. Step 2: Convert to fraction form
   152,624/233,472 = 233,472/x
3. Step 3: Cross multiply
   152,624x = 233,472 × 233,472
4. Step 4: Simplify right side
   152,624x = 54,509,174,784
5. Step 5: Solve for x
   x = 54,509,174,784/152,624
6. Step 6: Final answer
   x = 357,146.81