Finding the Third Proportional to 298.69 and 604.34

Step by Step Solution

1. Step 1: Write the proportion equation
   298.69 : 604.34 = 604.34 : x
2. Step 2: Convert to fraction form
   298.69/604.34 = 604.34/x
3. Step 3: Cross multiply
   298.69x = 604.34 × 604.34
4. Step 4: Simplify right side
   298.69x = 365,221.93
5. Step 5: Solve for x
   x = 365,221.93/298.69
6. Step 6: Final answer
   x = 1,222.76