Finding the Third Proportional to 147.37 and 233.15

Step by Step Solution

1. Step 1: Write the proportion equation
   147.37 : 233.15 = 233.15 : x
2. Step 2: Convert to fraction form
   147.37/233.15 = 233.15/x
3. Step 3: Cross multiply
   147.37x = 233.15 × 233.15
4. Step 4: Simplify right side
   147.37x = 54,359.79
5. Step 5: Solve for x
   x = 54,359.79/147.37
6. Step 6: Final answer
   x = 368.88