Finding the Third Proportional to 152,684 and 224,464

Step by Step Solution

1. Step 1: Write the proportion equation
   152,684 : 224,464 = 224,464 : x
2. Step 2: Convert to fraction form
   152,684/224,464 = 224,464/x
3. Step 3: Cross multiply
   152,684x = 224,464 × 224,464
4. Step 4: Simplify right side
   152,684x = 50,384,087,296
5. Step 5: Solve for x
   x = 50,384,087,296/152,684
6. Step 6: Final answer
   x = 329,989.31