Finding the Third Proportional to 80,743 and 173,825

Step by Step Solution

1. Step 1: Write the proportion equation
   80,743 : 173,825 = 173,825 : x
2. Step 2: Convert to fraction form
   80,743/173,825 = 173,825/x
3. Step 3: Cross multiply
   80,743x = 173,825 × 173,825
4. Step 4: Simplify right side
   80,743x = 30,215,130,625
5. Step 5: Solve for x
   x = 30,215,130,625/80,743
6. Step 6: Final answer
   x = 374,213.62