Finding the Third Proportional to 322.78 and 465.89

Step by Step Solution

1. Step 1: Write the proportion equation
   322.78 : 465.89 = 465.89 : x
2. Step 2: Convert to fraction form
   322.78/465.89 = 465.89/x
3. Step 3: Cross multiply
   322.78x = 465.89 × 465.89
4. Step 4: Simplify right side
   322.78x = 217,054.07
5. Step 5: Solve for x
   x = 217,054.07/322.78
6. Step 6: Final answer
   x = 672.45