Finding the Third Proportional to 322.31 and 512.16

Step by Step Solution

1. Step 1: Write the proportion equation
   322.31 : 512.16 = 512.16 : x
2. Step 2: Convert to fraction form
   322.31/512.16 = 512.16/x
3. Step 3: Cross multiply
   322.31x = 512.16 × 512.16
4. Step 4: Simplify right side
   322.31x = 262,304.02
5. Step 5: Solve for x
   x = 262,304.02/322.31
6. Step 6: Final answer
   x = 813.82