Finding the Third Proportional to 105,951 and 227,238

Step by Step Solution

1. Step 1: Write the proportion equation
   105,951 : 227,238 = 227,238 : x
2. Step 2: Convert to fraction form
   105,951/227,238 = 227,238/x
3. Step 3: Cross multiply
   105,951x = 227,238 × 227,238
4. Step 4: Simplify right side
   105,951x = 51,637,108,644
5. Step 5: Solve for x
   x = 51,637,108,644/105,951
6. Step 6: Final answer
   x = 487,367.83