Finding the Third Proportional to 300.94 and 677.81

Step by Step Solution

1. Step 1: Write the proportion equation
   300.94 : 677.81 = 677.81 : x
2. Step 2: Convert to fraction form
   300.94/677.81 = 677.81/x
3. Step 3: Cross multiply
   300.94x = 677.81 × 677.81
4. Step 4: Simplify right side
   300.94x = 459,429.79
5. Step 5: Solve for x
   x = 459,429.79/300.94
6. Step 6: Final answer
   x = 1,526.66