Finding the Third Proportional to 225.66 and 498.56

Step by Step Solution

1. Step 1: Write the proportion equation
   225.66 : 498.56 = 498.56 : x
2. Step 2: Convert to fraction form
   225.66/498.56 = 498.56/x
3. Step 3: Cross multiply
   225.66x = 498.56 × 498.56
4. Step 4: Simplify right side
   225.66x = 248,564.57
5. Step 5: Solve for x
   x = 248,564.57/225.66
6. Step 6: Final answer
   x = 1,101.52