Finding the Third Proportional to 105,880 and 227,116

Step by Step Solution

1. Step 1: Write the proportion equation
   105,880 : 227,116 = 227,116 : x
2. Step 2: Convert to fraction form
   105,880/227,116 = 227,116/x
3. Step 3: Cross multiply
   105,880x = 227,116 × 227,116
4. Step 4: Simplify right side
   105,880x = 51,581,677,456
5. Step 5: Solve for x
   x = 51,581,677,456/105,880
6. Step 6: Final answer
   x = 487,171.11