Finding the Third Proportional to 162.56 and 255.56

Step by Step Solution

1. Step 1: Write the proportion equation
   162.56 : 255.56 = 255.56 : x
2. Step 2: Convert to fraction form
   162.56/255.56 = 255.56/x
3. Step 3: Cross multiply
   162.56x = 255.56 × 255.56
4. Step 4: Simplify right side
   162.56x = 65,312.19
5. Step 5: Solve for x
   x = 65,312.19/162.56
6. Step 6: Final answer
   x = 401.77