Finding the Third Proportional to 80,744 and 195,380

Step by Step Solution

1. Step 1: Write the proportion equation
   80,744 : 195,380 = 195,380 : x
2. Step 2: Convert to fraction form
   80,744/195,380 = 195,380/x
3. Step 3: Cross multiply
   80,744x = 195,380 × 195,380
4. Step 4: Simplify right side
   80,744x = 38,173,344,400
5. Step 5: Solve for x
   x = 38,173,344,400/80,744
6. Step 6: Final answer
   x = 472,770.04