Finding the Third Proportional to 358.88 and 541.31

Step by Step Solution

1. Step 1: Write the proportion equation
   358.88 : 541.31 = 541.31 : x
2. Step 2: Convert to fraction form
   358.88/541.31 = 541.31/x
3. Step 3: Cross multiply
   358.88x = 541.31 × 541.31
4. Step 4: Simplify right side
   358.88x = 293,019.22
5. Step 5: Solve for x
   x = 293,019.22/358.88
6. Step 6: Final answer
   x = 816.49