Finding the Third Proportional to 83,568 and 182,496

Step by Step Solution

1. Step 1: Write the proportion equation
   83,568 : 182,496 = 182,496 : x
2. Step 2: Convert to fraction form
   83,568/182,496 = 182,496/x
3. Step 3: Cross multiply
   83,568x = 182,496 × 182,496
4. Step 4: Simplify right side
   83,568x = 33,304,790,016
5. Step 5: Solve for x
   x = 33,304,790,016/83,568
6. Step 6: Final answer
   x = 398,535.21