Finding the Third Proportional to 358.78 and 772.27

Step by Step Solution

1. Step 1: Write the proportion equation
   358.78 : 772.27 = 772.27 : x
2. Step 2: Convert to fraction form
   358.78/772.27 = 772.27/x
3. Step 3: Cross multiply
   358.78x = 772.27 × 772.27
4. Step 4: Simplify right side
   358.78x = 596,394.20
5. Step 5: Solve for x
   x = 596,394.20/358.78
6. Step 6: Final answer
   x = 1,662.28