Finding the Third Proportional to 83,828 and 182,452

Step by Step Solution

1. Step 1: Write the proportion equation
   83,828 : 182,452 = 182,452 : x
2. Step 2: Convert to fraction form
   83,828/182,452 = 182,452/x
3. Step 3: Cross multiply
   83,828x = 182,452 × 182,452
4. Step 4: Simplify right side
   83,828x = 33,288,732,304
5. Step 5: Solve for x
   x = 33,288,732,304/83,828
6. Step 6: Final answer
   x = 397,107.56