Finding the Third Proportional to 159.33 and 233.04

Step by Step Solution

1. Step 1: Write the proportion equation
   159.33 : 233.04 = 233.04 : x
2. Step 2: Convert to fraction form
   159.33/233.04 = 233.04/x
3. Step 3: Cross multiply
   159.33x = 233.04 × 233.04
4. Step 4: Simplify right side
   159.33x = 54,307.20
5. Step 5: Solve for x
   x = 54,307.20/159.33
6. Step 6: Final answer
   x = 340.85