Finding the Third Proportional to 519,997 and 783,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   519,997 : 783,684.50 = 783,684.50 : x
2. Step 2: Convert to fraction form
   519,997/783,684.50 = 783,684.50/x
3. Step 3: Cross multiply
   519,997x = 783,684.50 × 783,684.50
4. Step 4: Simplify right side
   519,997x = 614,161,395,540.25
5. Step 5: Solve for x
   x = 614,161,395,540.25/519,997
6. Step 6: Final answer
   x = 1,181,086.42