Finding the Third Proportional to 225.56 and 496.69

Step by Step Solution

1. Step 1: Write the proportion equation
   225.56 : 496.69 = 496.69 : x
2. Step 2: Convert to fraction form
   225.56/496.69 = 496.69/x
3. Step 3: Cross multiply
   225.56x = 496.69 × 496.69
4. Step 4: Simplify right side
   225.56x = 246,698.47
5. Step 5: Solve for x
   x = 246,698.47/225.56
6. Step 6: Final answer
   x = 1,093.70