Finding the Third Proportional to 159.89 and 327.38

Step by Step Solution

1. Step 1: Write the proportion equation
   159.89 : 327.38 = 327.38 : x
2. Step 2: Convert to fraction form
   159.89/327.38 = 327.38/x
3. Step 3: Cross multiply
   159.89x = 327.38 × 327.38
4. Step 4: Simplify right side
   159.89x = 107,174.39
5. Step 5: Solve for x
   x = 107,174.39/159.89
6. Step 6: Final answer
   x = 670.30