Finding the Third Proportional to 83,418 and 181,524

Step by Step Solution

1. Step 1: Write the proportion equation
   83,418 : 181,524 = 181,524 : x
2. Step 2: Convert to fraction form
   83,418/181,524 = 181,524/x
3. Step 3: Cross multiply
   83,418x = 181,524 × 181,524
4. Step 4: Simplify right side
   83,418x = 32,950,962,576
5. Step 5: Solve for x
   x = 32,950,962,576/83,418
6. Step 6: Final answer
   x = 395,010.22