Finding the Third Proportional to 405.56 and 544.78

Step by Step Solution

1. Step 1: Write the proportion equation
   405.56 : 544.78 = 544.78 : x
2. Step 2: Convert to fraction form
   405.56/544.78 = 544.78/x
3. Step 3: Cross multiply
   405.56x = 544.78 × 544.78
4. Step 4: Simplify right side
   405.56x = 296,786.61
5. Step 5: Solve for x
   x = 296,786.61/405.56
6. Step 6: Final answer
   x = 731.79