Finding the Third Proportional to 213.57 and 452.78

Step by Step Solution

1. Step 1: Write the proportion equation
   213.57 : 452.78 = 452.78 : x
2. Step 2: Convert to fraction form
   213.57/452.78 = 452.78/x
3. Step 3: Cross multiply
   213.57x = 452.78 × 452.78
4. Step 4: Simplify right side
   213.57x = 205,007.32
5. Step 5: Solve for x
   x = 205,007.32/213.57
6. Step 6: Final answer
   x = 959.89