Finding the Third Proportional to 158.25 and 327.56

Step by Step Solution

1. Step 1: Write the proportion equation
   158.25 : 327.56 = 327.56 : x
2. Step 2: Convert to fraction form
   158.25/327.56 = 327.56/x
3. Step 3: Cross multiply
   158.25x = 327.56 × 327.56
4. Step 4: Simplify right side
   158.25x = 107,297.19
5. Step 5: Solve for x
   x = 107,297.19/158.25
6. Step 6: Final answer
   x = 678.02