Finding the Third Proportional to 123 and 298

Step by Step Solution

1. Step 1: Write the proportion equation
   123 : 298 = 298 : x
2. Step 2: Convert to fraction form
   123/298 = 298/x
3. Step 3: Cross multiply
   123x = 298 × 298
4. Step 4: Simplify right side
   123x = 88,804
5. Step 5: Solve for x
   x = 88,804/123
6. Step 6: Final answer
   x = 721.98