Finding the Third Proportional to 80,870 and 172,114

Step by Step Solution

1. Step 1: Write the proportion equation
   80,870 : 172,114 = 172,114 : x
2. Step 2: Convert to fraction form
   80,870/172,114 = 172,114/x
3. Step 3: Cross multiply
   80,870x = 172,114 × 172,114
4. Step 4: Simplify right side
   80,870x = 29,623,228,996
5. Step 5: Solve for x
   x = 29,623,228,996/80,870
6. Step 6: Final answer
   x = 366,306.78