Finding the Third Proportional to 159.38 and 321.56

Step by Step Solution

1. Step 1: Write the proportion equation
   159.38 : 321.56 = 321.56 : x
2. Step 2: Convert to fraction form
   159.38/321.56 = 321.56/x
3. Step 3: Cross multiply
   159.38x = 321.56 × 321.56
4. Step 4: Simplify right side
   159.38x = 103,402.44
5. Step 5: Solve for x
   x = 103,402.44/159.38
6. Step 6: Final answer
   x = 648.80