Finding the Third Proportional to 148.61 and 323.33

Step by Step Solution

1. Step 1: Write the proportion equation
   148.61 : 323.33 = 323.33 : x
2. Step 2: Convert to fraction form
   148.61/323.33 = 323.33/x
3. Step 3: Cross multiply
   148.61x = 323.33 × 323.33
4. Step 4: Simplify right side
   148.61x = 104,543.60
5. Step 5: Solve for x
   x = 104,543.60/148.61
6. Step 6: Final answer
   x = 703.50