Finding the Third Proportional to 80,766 and 175,320

Step by Step Solution

1. Step 1: Write the proportion equation
   80,766 : 175,320 = 175,320 : x
2. Step 2: Convert to fraction form
   80,766/175,320 = 175,320/x
3. Step 3: Cross multiply
   80,766x = 175,320 × 175,320
4. Step 4: Simplify right side
   80,766x = 30,737,102,400
5. Step 5: Solve for x
   x = 30,737,102,400/80,766
6. Step 6: Final answer
   x = 380,569.82