Finding the Third Proportional to 80,910 and 172,026

Step by Step Solution

1. Step 1: Write the proportion equation
   80,910 : 172,026 = 172,026 : x
2. Step 2: Convert to fraction form
   80,910/172,026 = 172,026/x
3. Step 3: Cross multiply
   80,910x = 172,026 × 172,026
4. Step 4: Simplify right side
   80,910x = 29,592,944,676
5. Step 5: Solve for x
   x = 29,592,944,676/80,910
6. Step 6: Final answer
   x = 365,751.39