Finding the Third Proportional to 109,656 and 227,088

Step by Step Solution

1. Step 1: Write the proportion equation
   109,656 : 227,088 = 227,088 : x
2. Step 2: Convert to fraction form
   109,656/227,088 = 227,088/x
3. Step 3: Cross multiply
   109,656x = 227,088 × 227,088
4. Step 4: Simplify right side
   109,656x = 51,568,959,744
5. Step 5: Solve for x
   x = 51,568,959,744/109,656
6. Step 6: Final answer
   x = 470,279.42