Finding the Third Proportional to 146.81 and 328.43

Step by Step Solution

1. Step 1: Write the proportion equation
   146.81 : 328.43 = 328.43 : x
2. Step 2: Convert to fraction form
   146.81/328.43 = 328.43/x
3. Step 3: Cross multiply
   146.81x = 328.43 × 328.43
4. Step 4: Simplify right side
   146.81x = 107,866.06
5. Step 5: Solve for x
   x = 107,866.06/146.81
6. Step 6: Final answer
   x = 734.72