Finding the Third Proportional to 321.56 and 744.56

Step by Step Solution

1. Step 1: Write the proportion equation
   321.56 : 744.56 = 744.56 : x
2. Step 2: Convert to fraction form
   321.56/744.56 = 744.56/x
3. Step 3: Cross multiply
   321.56x = 744.56 × 744.56
4. Step 4: Simplify right side
   321.56x = 554,373.32
5. Step 5: Solve for x
   x = 554,373.32/321.56
6. Step 6: Final answer
   x = 1,724.00