Finding the Third Proportional to 148.13 and 321.38

Step by Step Solution

1. Step 1: Write the proportion equation
   148.13 : 321.38 = 321.38 : x
2. Step 2: Convert to fraction form
   148.13/321.38 = 321.38/x
3. Step 3: Cross multiply
   148.13x = 321.38 × 321.38
4. Step 4: Simplify right side
   148.13x = 103,281.89
5. Step 5: Solve for x
   x = 103,281.89/148.13
6. Step 6: Final answer
   x = 697.26