Finding the Third Proportional to 80,443 and 171,569

Step by Step Solution

1. Step 1: Write the proportion equation
   80,443 : 171,569 = 171,569 : x
2. Step 2: Convert to fraction form
   80,443/171,569 = 171,569/x
3. Step 3: Cross multiply
   80,443x = 171,569 × 171,569
4. Step 4: Simplify right side
   80,443x = 29,435,921,761
5. Step 5: Solve for x
   x = 29,435,921,761/80,443
6. Step 6: Final answer
   x = 365,922.72