Finding the Third Proportional to 323.84 and 512.82

Step by Step Solution

1. Step 1: Write the proportion equation
   323.84 : 512.82 = 512.82 : x
2. Step 2: Convert to fraction form
   323.84/512.82 = 512.82/x
3. Step 3: Cross multiply
   323.84x = 512.82 × 512.82
4. Step 4: Simplify right side
   323.84x = 262,979.66
5. Step 5: Solve for x
   x = 262,979.66/323.84
6. Step 6: Final answer
   x = 812.06