Finding the Third Proportional to 83,451 and 181,059

Step by Step Solution

1. Step 1: Write the proportion equation
   83,451 : 181,059 = 181,059 : x
2. Step 2: Convert to fraction form
   83,451/181,059 = 181,059/x
3. Step 3: Cross multiply
   83,451x = 181,059 × 181,059
4. Step 4: Simplify right side
   83,451x = 32,782,361,481
5. Step 5: Solve for x
   x = 32,782,361,481/83,451
6. Step 6: Final answer
   x = 392,833.66