Finding the Third Proportional to 72,682 and 156,496

Step by Step Solution

1. Step 1: Write the proportion equation
   72,682 : 156,496 = 156,496 : x
2. Step 2: Convert to fraction form
   72,682/156,496 = 156,496/x
3. Step 3: Cross multiply
   72,682x = 156,496 × 156,496
4. Step 4: Simplify right side
   72,682x = 24,490,998,016
5. Step 5: Solve for x
   x = 24,490,998,016/72,682
6. Step 6: Final answer
   x = 336,960.98