Finding the Third Proportional to 225.33 and 499.59

Step by Step Solution

1. Step 1: Write the proportion equation
   225.33 : 499.59 = 499.59 : x
2. Step 2: Convert to fraction form
   225.33/499.59 = 499.59/x
3. Step 3: Cross multiply
   225.33x = 499.59 × 499.59
4. Step 4: Simplify right side
   225.33x = 249,593.92
5. Step 5: Solve for x
   x = 249,593.92/225.33
6. Step 6: Final answer
   x = 1,107.69