Finding the Third Proportional to 80,420 and 175,744

Step by Step Solution

1. Step 1: Write the proportion equation
   80,420 : 175,744 = 175,744 : x
2. Step 2: Convert to fraction form
   80,420/175,744 = 175,744/x
3. Step 3: Cross multiply
   80,420x = 175,744 × 175,744
4. Step 4: Simplify right side
   80,420x = 30,885,953,536
5. Step 5: Solve for x
   x = 30,885,953,536/80,420
6. Step 6: Final answer
   x = 384,058.11