Finding the Third Proportional to 311,568 and 677,811.75

Step by Step Solution

1. Step 1: Write the proportion equation
   311,568 : 677,811.75 = 677,811.75 : x
2. Step 2: Convert to fraction form
   311,568/677,811.75 = 677,811.75/x
3. Step 3: Cross multiply
   311,568x = 677,811.75 × 677,811.75
4. Step 4: Simplify right side
   311,568x = 459,428,768,438.06
5. Step 5: Solve for x
   x = 459,428,768,438.06/311,568
6. Step 6: Final answer
   x = 1,474,569.82