Finding the Third Proportional to 108,666 and 227,268

Step by Step Solution

1. Step 1: Write the proportion equation
   108,666 : 227,268 = 227,268 : x
2. Step 2: Convert to fraction form
   108,666/227,268 = 227,268/x
3. Step 3: Cross multiply
   108,666x = 227,268 × 227,268
4. Step 4: Simplify right side
   108,666x = 51,650,743,824
5. Step 5: Solve for x
   x = 51,650,743,824/108,666
6. Step 6: Final answer
   x = 475,316.51