Finding the Third Proportional to 159.47 and 231.89

Step by Step Solution

1. Step 1: Write the proportion equation
   159.47 : 231.89 = 231.89 : x
2. Step 2: Convert to fraction form
   159.47/231.89 = 231.89/x
3. Step 3: Cross multiply
   159.47x = 231.89 × 231.89
4. Step 4: Simplify right side
   159.47x = 53,773.26
5. Step 5: Solve for x
   x = 53,773.26/159.47
6. Step 6: Final answer
   x = 337.20