Finding the Third Proportional to 105,856 and 226,474

Step by Step Solution

1. Step 1: Write the proportion equation
   105,856 : 226,474 = 226,474 : x
2. Step 2: Convert to fraction form
   105,856/226,474 = 226,474/x
3. Step 3: Cross multiply
   105,856x = 226,474 × 226,474
4. Step 4: Simplify right side
   105,856x = 51,290,472,676
5. Step 5: Solve for x
   x = 51,290,472,676/105,856
6. Step 6: Final answer
   x = 484,530.61