Finding the Third Proportional to 298.85 and 650.77

Step by Step Solution

1. Step 1: Write the proportion equation
   298.85 : 650.77 = 650.77 : x
2. Step 2: Convert to fraction form
   298.85/650.77 = 650.77/x
3. Step 3: Cross multiply
   298.85x = 650.77 × 650.77
4. Step 4: Simplify right side
   298.85x = 423,499.71
5. Step 5: Solve for x
   x = 423,499.71/298.85
6. Step 6: Final answer
   x = 1,417.12