Finding the Third Proportional to 152,940 and 329,314

Step by Step Solution

1. Step 1: Write the proportion equation
   152,940 : 329,314 = 329,314 : x
2. Step 2: Convert to fraction form
   152,940/329,314 = 329,314/x
3. Step 3: Cross multiply
   152,940x = 329,314 × 329,314
4. Step 4: Simplify right side
   152,940x = 108,447,710,596
5. Step 5: Solve for x
   x = 108,447,710,596/152,940
6. Step 6: Final answer
   x = 709,086.64