Finding the Third Proportional to 152,670 and 224,564

Step by Step Solution

1. Step 1: Write the proportion equation
   152,670 : 224,564 = 224,564 : x
2. Step 2: Convert to fraction form
   152,670/224,564 = 224,564/x
3. Step 3: Cross multiply
   152,670x = 224,564 × 224,564
4. Step 4: Simplify right side
   152,670x = 50,428,990,096
5. Step 5: Solve for x
   x = 50,428,990,096/152,670
6. Step 6: Final answer
   x = 330,313.68