Finding the Third Proportional to 80,614 and 172,892

Step by Step Solution

1. Step 1: Write the proportion equation
   80,614 : 172,892 = 172,892 : x
2. Step 2: Convert to fraction form
   80,614/172,892 = 172,892/x
3. Step 3: Cross multiply
   80,614x = 172,892 × 172,892
4. Step 4: Simplify right side
   80,614x = 29,891,643,664
5. Step 5: Solve for x
   x = 29,891,643,664/80,614
6. Step 6: Final answer
   x = 370,799.66