Finding the Third Proportional to 238.50 and 358.31

Step by Step Solution

1. Step 1: Write the proportion equation
   238.50 : 358.31 = 358.31 : x
2. Step 2: Convert to fraction form
   238.50/358.31 = 358.31/x
3. Step 3: Cross multiply
   238.50x = 358.31 × 358.31
4. Step 4: Simplify right side
   238.50x = 128,387.85
5. Step 5: Solve for x
   x = 128,387.85/238.50
6. Step 6: Final answer
   x = 538.31