Finding the Third Proportional to 159.47 and 331.59

Step by Step Solution

1. Step 1: Write the proportion equation
   159.47 : 331.59 = 331.59 : x
2. Step 2: Convert to fraction form
   159.47/331.59 = 331.59/x
3. Step 3: Cross multiply
   159.47x = 331.59 × 331.59
4. Step 4: Simplify right side
   159.47x = 109,954.42
5. Step 5: Solve for x
   x = 109,954.42/159.47
6. Step 6: Final answer
   x = 689.50