Finding the Third Proportional to 146 and 321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146 : 321.50 = 321.50 : x
2. Step 2: Convert to fraction form
   146/321.50 = 321.50/x
3. Step 3: Cross multiply
   146x = 321.50 × 321.50
4. Step 4: Simplify right side
   146x = 103,362.25
5. Step 5: Solve for x
   x = 103,362.25/146
6. Step 6: Final answer
   x = 707.96