Finding the Third Proportional to 98,892 and 219,142

Step by Step Solution

1. Step 1: Write the proportion equation
   98,892 : 219,142 = 219,142 : x
2. Step 2: Convert to fraction form
   98,892/219,142 = 219,142/x
3. Step 3: Cross multiply
   98,892x = 219,142 × 219,142
4. Step 4: Simplify right side
   98,892x = 48,023,216,164
5. Step 5: Solve for x
   x = 48,023,216,164/98,892
6. Step 6: Final answer
   x = 485,612.75