Finding the Third Proportional to 222.75 and 477.56

Step by Step Solution

1. Step 1: Write the proportion equation
   222.75 : 477.56 = 477.56 : x
2. Step 2: Convert to fraction form
   222.75/477.56 = 477.56/x
3. Step 3: Cross multiply
   222.75x = 477.56 × 477.56
4. Step 4: Simplify right side
   222.75x = 228,065.94
5. Step 5: Solve for x
   x = 228,065.94/222.75
6. Step 6: Final answer
   x = 1,023.87