Finding the Third Proportional to 81,892 and 172,036

Step by Step Solution

1. Step 1: Write the proportion equation
   81,892 : 172,036 = 172,036 : x
2. Step 2: Convert to fraction form
   81,892/172,036 = 172,036/x
3. Step 3: Cross multiply
   81,892x = 172,036 × 172,036
4. Step 4: Simplify right side
   81,892x = 29,596,385,296
5. Step 5: Solve for x
   x = 29,596,385,296/81,892
6. Step 6: Final answer
   x = 361,407.53