Finding the Third Proportional to 80,680 and 175,157

Step by Step Solution

1. Step 1: Write the proportion equation
   80,680 : 175,157 = 175,157 : x
2. Step 2: Convert to fraction form
   80,680/175,157 = 175,157/x
3. Step 3: Cross multiply
   80,680x = 175,157 × 175,157
4. Step 4: Simplify right side
   80,680x = 30,679,974,649
5. Step 5: Solve for x
   x = 30,679,974,649/80,680
6. Step 6: Final answer
   x = 380,267.41