Finding the Third Proportional to 78,892 and 172,400

Step by Step Solution

1. Step 1: Write the proportion equation
   78,892 : 172,400 = 172,400 : x
2. Step 2: Convert to fraction form
   78,892/172,400 = 172,400/x
3. Step 3: Cross multiply
   78,892x = 172,400 × 172,400
4. Step 4: Simplify right side
   78,892x = 29,721,760,000
5. Step 5: Solve for x
   x = 29,721,760,000/78,892
6. Step 6: Final answer
   x = 376,739.85