Finding the Third Proportional to 146.88 and 321.88

Step by Step Solution

1. Step 1: Write the proportion equation
   146.88 : 321.88 = 321.88 : x
2. Step 2: Convert to fraction form
   146.88/321.88 = 321.88/x
3. Step 3: Cross multiply
   146.88x = 321.88 × 321.88
4. Step 4: Simplify right side
   146.88x = 103,603.52
5. Step 5: Solve for x
   x = 103,603.52/146.88
6. Step 6: Final answer
   x = 705.39