Finding the Third Proportional to 81,922 and 172,088

Step by Step Solution

1. Step 1: Write the proportion equation
   81,922 : 172,088 = 172,088 : x
2. Step 2: Convert to fraction form
   81,922/172,088 = 172,088/x
3. Step 3: Cross multiply
   81,922x = 172,088 × 172,088
4. Step 4: Simplify right side
   81,922x = 29,614,279,744
5. Step 5: Solve for x
   x = 29,614,279,744/81,922
6. Step 6: Final answer
   x = 361,493.61