Finding the Third Proportional to 225.75 and 477.38

Step by Step Solution

1. Step 1: Write the proportion equation
   225.75 : 477.38 = 477.38 : x
2. Step 2: Convert to fraction form
   225.75/477.38 = 477.38/x
3. Step 3: Cross multiply
   225.75x = 477.38 × 477.38
4. Step 4: Simplify right side
   225.75x = 227,886.89
5. Step 5: Solve for x
   x = 227,886.89/225.75
6. Step 6: Final answer
   x = 1,009.47