Finding the Third Proportional to 146.16 and 322.69

Step by Step Solution

1. Step 1: Write the proportion equation
   146.16 : 322.69 = 322.69 : x
2. Step 2: Convert to fraction form
   146.16/322.69 = 322.69/x
3. Step 3: Cross multiply
   146.16x = 322.69 × 322.69
4. Step 4: Simplify right side
   146.16x = 104,127.22
5. Step 5: Solve for x
   x = 104,127.22/146.16
6. Step 6: Final answer
   x = 712.44