Finding the Third Proportional to 105,881 and 227,110

Step by Step Solution

1. Step 1: Write the proportion equation
   105,881 : 227,110 = 227,110 : x
2. Step 2: Convert to fraction form
   105,881/227,110 = 227,110/x
3. Step 3: Cross multiply
   105,881x = 227,110 × 227,110
4. Step 4: Simplify right side
   105,881x = 51,578,952,100
5. Step 5: Solve for x
   x = 51,578,952,100/105,881
6. Step 6: Final answer
   x = 487,140.77