Finding the Third Proportional to 159.82 and 255.76

Step by Step Solution

1. Step 1: Write the proportion equation
   159.82 : 255.76 = 255.76 : x
2. Step 2: Convert to fraction form
   159.82/255.76 = 255.76/x
3. Step 3: Cross multiply
   159.82x = 255.76 × 255.76
4. Step 4: Simplify right side
   159.82x = 65,410.68
5. Step 5: Solve for x
   x = 65,410.68/159.82
6. Step 6: Final answer
   x = 409.27