Finding the Third Proportional to 255.56 and 278.63

Step by Step Solution

1. Step 1: Write the proportion equation
   255.56 : 278.63 = 278.63 : x
2. Step 2: Convert to fraction form
   255.56/278.63 = 278.63/x
3. Step 3: Cross multiply
   255.56x = 278.63 × 278.63
4. Step 4: Simplify right side
   255.56x = 77,631.89
5. Step 5: Solve for x
   x = 77,631.89/255.56
6. Step 6: Final answer
   x = 303.77