Finding the Third Proportional to 105,867 and 227,088

Step by Step Solution

1. Step 1: Write the proportion equation
   105,867 : 227,088 = 227,088 : x
2. Step 2: Convert to fraction form
   105,867/227,088 = 227,088/x
3. Step 3: Cross multiply
   105,867x = 227,088 × 227,088
4. Step 4: Simplify right side
   105,867x = 51,568,959,744
5. Step 5: Solve for x
   x = 51,568,959,744/105,867
6. Step 6: Final answer
   x = 487,110.81