Finding the Third Proportional to 80,676 and 175,341

Step by Step Solution

1. Step 1: Write the proportion equation
   80,676 : 175,341 = 175,341 : x
2. Step 2: Convert to fraction form
   80,676/175,341 = 175,341/x
3. Step 3: Cross multiply
   80,676x = 175,341 × 175,341
4. Step 4: Simplify right side
   80,676x = 30,744,466,281
5. Step 5: Solve for x
   x = 30,744,466,281/80,676
6. Step 6: Final answer
   x = 381,085.65