Finding the Third Proportional to 518,768 and 778,150

Step by Step Solution

1. Step 1: Write the proportion equation
   518,768 : 778,150 = 778,150 : x
2. Step 2: Convert to fraction form
   518,768/778,150 = 778,150/x
3. Step 3: Cross multiply
   518,768x = 778,150 × 778,150
4. Step 4: Simplify right side
   518,768x = 605,517,422,500
5. Step 5: Solve for x
   x = 605,517,422,500/518,768
6. Step 6: Final answer
   x = 1,167,222.00