Finding the Third Proportional to 298.69 and 450.56

Step by Step Solution

1. Step 1: Write the proportion equation
   298.69 : 450.56 = 450.56 : x
2. Step 2: Convert to fraction form
   298.69/450.56 = 450.56/x
3. Step 3: Cross multiply
   298.69x = 450.56 × 450.56
4. Step 4: Simplify right side
   298.69x = 203,006.57
5. Step 5: Solve for x
   x = 203,006.57/298.69
6. Step 6: Final answer
   x = 679.66