Finding the Third Proportional to 105,096 and 226,872

Step by Step Solution

1. Step 1: Write the proportion equation
   105,096 : 226,872 = 226,872 : x
2. Step 2: Convert to fraction form
   105,096/226,872 = 226,872/x
3. Step 3: Cross multiply
   105,096x = 226,872 × 226,872
4. Step 4: Simplify right side
   105,096x = 51,470,904,384
5. Step 5: Solve for x
   x = 51,470,904,384/105,096
6. Step 6: Final answer
   x = 489,751.32