Finding the Third Proportional to 506,791.69 and 682,617.38

Step by Step Solution

1. Step 1: Write the proportion equation
   506,791.69 : 682,617.38 = 682,617.38 : x
2. Step 2: Convert to fraction form
   506,791.69/682,617.38 = 682,617.38/x
3. Step 3: Cross multiply
   506,791.69x = 682,617.38 × 682,617.38
4. Step 4: Simplify right side
   506,791.69x = 465,966,480,651.89
5. Step 5: Solve for x
   x = 465,966,480,651.89/506,791.69
6. Step 6: Final answer
   x = 919,443.81