Finding the Third Proportional to 600.94 and 877.78

Step by Step Solution

1. Step 1: Write the proportion equation
   600.94 : 877.78 = 877.78 : x
2. Step 2: Convert to fraction form
   600.94/877.78 = 877.78/x
3. Step 3: Cross multiply
   600.94x = 877.78 × 877.78
4. Step 4: Simplify right side
   600.94x = 770,499.92
5. Step 5: Solve for x
   x = 770,499.92/600.94
6. Step 6: Final answer
   x = 1,282.16