Finding the Third Proportional to 152,968 and 329,376

Step by Step Solution

1. Step 1: Write the proportion equation
   152,968 : 329,376 = 329,376 : x
2. Step 2: Convert to fraction form
   152,968/329,376 = 329,376/x
3. Step 3: Cross multiply
   152,968x = 329,376 × 329,376
4. Step 4: Simplify right side
   152,968x = 108,488,549,376
5. Step 5: Solve for x
   x = 108,488,549,376/152,968
6. Step 6: Final answer
   x = 709,223.82