Finding the Third Proportional to 103,608 and 225,666

Step by Step Solution

1. Step 1: Write the proportion equation
   103,608 : 225,666 = 225,666 : x
2. Step 2: Convert to fraction form
   103,608/225,666 = 225,666/x
3. Step 3: Cross multiply
   103,608x = 225,666 × 225,666
4. Step 4: Simplify right side
   103,608x = 50,925,143,556
5. Step 5: Solve for x
   x = 50,925,143,556/103,608
6. Step 6: Final answer
   x = 491,517.48