Finding the Third Proportional to 82,691 and 181,582

Step by Step Solution

1. Step 1: Write the proportion equation
   82,691 : 181,582 = 181,582 : x
2. Step 2: Convert to fraction form
   82,691/181,582 = 181,582/x
3. Step 3: Cross multiply
   82,691x = 181,582 × 181,582
4. Step 4: Simplify right side
   82,691x = 32,972,022,724
5. Step 5: Solve for x
   x = 32,972,022,724/82,691
6. Step 6: Final answer
   x = 398,737.74