Finding the Third Proportional to 358.52 and 392.27

Step by Step Solution

1. Step 1: Write the proportion equation
   358.52 : 392.27 = 392.27 : x
2. Step 2: Convert to fraction form
   358.52/392.27 = 392.27/x
3. Step 3: Cross multiply
   358.52x = 392.27 × 392.27
4. Step 4: Simplify right side
   358.52x = 153,878.45
5. Step 5: Solve for x
   x = 153,878.45/358.52
6. Step 6: Final answer
   x = 429.20