Finding the Third Proportional to 152,982 and 331,382

Step by Step Solution

1. Step 1: Write the proportion equation
   152,982 : 331,382 = 331,382 : x
2. Step 2: Convert to fraction form
   152,982/331,382 = 331,382/x
3. Step 3: Cross multiply
   152,982x = 331,382 × 331,382
4. Step 4: Simplify right side
   152,982x = 109,814,029,924
5. Step 5: Solve for x
   x = 109,814,029,924/152,982
6. Step 6: Final answer
   x = 717,823.21