Finding the Third Proportional to 80,443 and 171,566

Step by Step Solution

1. Step 1: Write the proportion equation
   80,443 : 171,566 = 171,566 : x
2. Step 2: Convert to fraction form
   80,443/171,566 = 171,566/x
3. Step 3: Cross multiply
   80,443x = 171,566 × 171,566
4. Step 4: Simplify right side
   80,443x = 29,434,892,356
5. Step 5: Solve for x
   x = 29,434,892,356/80,443
6. Step 6: Final answer
   x = 365,909.93