Finding the Third Proportional to 152,674 and 224,448

Step by Step Solution

1. Step 1: Write the proportion equation
   152,674 : 224,448 = 224,448 : x
2. Step 2: Convert to fraction form
   152,674/224,448 = 224,448/x
3. Step 3: Cross multiply
   152,674x = 224,448 × 224,448
4. Step 4: Simplify right side
   152,674x = 50,376,904,704
5. Step 5: Solve for x
   x = 50,376,904,704/152,674
6. Step 6: Final answer
   x = 329,963.88