Finding the Third Proportional to 152,617 and 224,359

Step by Step Solution

1. Step 1: Write the proportion equation
   152,617 : 224,359 = 224,359 : x
2. Step 2: Convert to fraction form
   152,617/224,359 = 224,359/x
3. Step 3: Cross multiply
   152,617x = 224,359 × 224,359
4. Step 4: Simplify right side
   152,617x = 50,336,960,881
5. Step 5: Solve for x
   x = 50,336,960,881/152,617
6. Step 6: Final answer
   x = 329,825.39