Finding the Third Proportional to 80,791 and 172,814

Step by Step Solution

1. Step 1: Write the proportion equation
   80,791 : 172,814 = 172,814 : x
2. Step 2: Convert to fraction form
   80,791/172,814 = 172,814/x
3. Step 3: Cross multiply
   80,791x = 172,814 × 172,814
4. Step 4: Simplify right side
   80,791x = 29,864,678,596
5. Step 5: Solve for x
   x = 29,864,678,596/80,791
6. Step 6: Final answer
   x = 369,653.53