Finding the Third Proportional to 321.75 and 607.31

Step by Step Solution

1. Step 1: Write the proportion equation
   321.75 : 607.31 = 607.31 : x
2. Step 2: Convert to fraction form
   321.75/607.31 = 607.31/x
3. Step 3: Cross multiply
   321.75x = 607.31 × 607.31
4. Step 4: Simplify right side
   321.75x = 368,828.47
5. Step 5: Solve for x
   x = 368,828.47/321.75
6. Step 6: Final answer
   x = 1,146.32