Finding the Third Proportional to 149.23 and 328.83

Step by Step Solution

1. Step 1: Write the proportion equation
   149.23 : 328.83 = 328.83 : x
2. Step 2: Convert to fraction form
   149.23/328.83 = 328.83/x
3. Step 3: Cross multiply
   149.23x = 328.83 × 328.83
4. Step 4: Simplify right side
   149.23x = 108,126.01
5. Step 5: Solve for x
   x = 108,126.01/149.23
6. Step 6: Final answer
   x = 724.58