Finding the Third Proportional to 321.56 and 597.56

Step by Step Solution

1. Step 1: Write the proportion equation
   321.56 : 597.56 = 597.56 : x
2. Step 2: Convert to fraction form
   321.56/597.56 = 597.56/x
3. Step 3: Cross multiply
   321.56x = 597.56 × 597.56
4. Step 4: Simplify right side
   321.56x = 357,080.94
5. Step 5: Solve for x
   x = 357,080.94/321.56
6. Step 6: Final answer
   x = 1,110.46