Finding the Third Proportional to 298.69 and 650.53

Step by Step Solution

1. Step 1: Write the proportion equation
   298.69 : 650.53 = 650.53 : x
2. Step 2: Convert to fraction form
   298.69/650.53 = 650.53/x
3. Step 3: Cross multiply
   298.69x = 650.53 × 650.53
4. Step 4: Simplify right side
   298.69x = 423,190.91
5. Step 5: Solve for x
   x = 423,190.91/298.69
6. Step 6: Final answer
   x = 1,416.84