Finding the Third Proportional to 82,686 and 181,572

Step by Step Solution

1. Step 1: Write the proportion equation
   82,686 : 181,572 = 181,572 : x
2. Step 2: Convert to fraction form
   82,686/181,572 = 181,572/x
3. Step 3: Cross multiply
   82,686x = 181,572 × 181,572
4. Step 4: Simplify right side
   82,686x = 32,968,391,184
5. Step 5: Solve for x
   x = 32,968,391,184/82,686
6. Step 6: Final answer
   x = 398,717.94