Finding the Third Proportional to 82,682 and 179,092

Step by Step Solution

1. Step 1: Write the proportion equation
   82,682 : 179,092 = 179,092 : x
2. Step 2: Convert to fraction form
   82,682/179,092 = 179,092/x
3. Step 3: Cross multiply
   82,682x = 179,092 × 179,092
4. Step 4: Simplify right side
   82,682x = 32,073,944,464
5. Step 5: Solve for x
   x = 32,073,944,464/82,682
6. Step 6: Final answer
   x = 387,919.31