Finding the Third Proportional to 327.16 and 705.59

Step by Step Solution

1. Step 1: Write the proportion equation
   327.16 : 705.59 = 705.59 : x
2. Step 2: Convert to fraction form
   327.16/705.59 = 705.59/x
3. Step 3: Cross multiply
   327.16x = 705.59 × 705.59
4. Step 4: Simplify right side
   327.16x = 497,851.52
5. Step 5: Solve for x
   x = 497,851.52/327.16
6. Step 6: Final answer
   x = 1,521.72