Finding the Third Proportional to 83,569 and 182,450

Step by Step Solution

1. Step 1: Write the proportion equation
   83,569 : 182,450 = 182,450 : x
2. Step 2: Convert to fraction form
   83,569/182,450 = 182,450/x
3. Step 3: Cross multiply
   83,569x = 182,450 × 182,450
4. Step 4: Simplify right side
   83,569x = 33,288,002,500
5. Step 5: Solve for x
   x = 33,288,002,500/83,569
6. Step 6: Final answer
   x = 398,329.55