Finding the Third Proportional to 78,874 and 172,022

Step by Step Solution

1. Step 1: Write the proportion equation
   78,874 : 172,022 = 172,022 : x
2. Step 2: Convert to fraction form
   78,874/172,022 = 172,022/x
3. Step 3: Cross multiply
   78,874x = 172,022 × 172,022
4. Step 4: Simplify right side
   78,874x = 29,591,568,484
5. Step 5: Solve for x
   x = 29,591,568,484/78,874
6. Step 6: Final answer
   x = 375,175.20