Finding the Third Proportional to 82,593 and 181,008

Step by Step Solution

1. Step 1: Write the proportion equation
   82,593 : 181,008 = 181,008 : x
2. Step 2: Convert to fraction form
   82,593/181,008 = 181,008/x
3. Step 3: Cross multiply
   82,593x = 181,008 × 181,008
4. Step 4: Simplify right side
   82,593x = 32,763,896,064
5. Step 5: Solve for x
   x = 32,763,896,064/82,593
6. Step 6: Final answer
   x = 396,690.96