Finding the Third Proportional to 519,992 and 783,676.75

Step by Step Solution

1. Step 1: Write the proportion equation
   519,992 : 783,676.75 = 783,676.75 : x
2. Step 2: Convert to fraction form
   519,992/783,676.75 = 783,676.75/x
3. Step 3: Cross multiply
   519,992x = 783,676.75 × 783,676.75
4. Step 4: Simplify right side
   519,992x = 614,149,248,490.56
5. Step 5: Solve for x
   x = 614,149,248,490.56/519,992
6. Step 6: Final answer
   x = 1,181,074.42