Finding the Third Proportional to 519,818 and 783,568

Step by Step Solution

1. Step 1: Write the proportion equation
   519,818 : 783,568 = 783,568 : x
2. Step 2: Convert to fraction form
   519,818/783,568 = 783,568/x
3. Step 3: Cross multiply
   519,818x = 783,568 × 783,568
4. Step 4: Simplify right side
   519,818x = 613,978,810,624
5. Step 5: Solve for x
   x = 613,978,810,624/519,818
6. Step 6: Final answer
   x = 1,181,141.88