Finding the Third Proportional to 83,882 and 182,524

Step by Step Solution

1. Step 1: Write the proportion equation
   83,882 : 182,524 = 182,524 : x
2. Step 2: Convert to fraction form
   83,882/182,524 = 182,524/x
3. Step 3: Cross multiply
   83,882x = 182,524 × 182,524
4. Step 4: Simplify right side
   83,882x = 33,315,010,576
5. Step 5: Solve for x
   x = 33,315,010,576/83,882
6. Step 6: Final answer
   x = 397,165.19