Finding the Third Proportional to 500,744 and 681,996

Step by Step Solution

1. Step 1: Write the proportion equation
   500,744 : 681,996 = 681,996 : x
2. Step 2: Convert to fraction form
   500,744/681,996 = 681,996/x
3. Step 3: Cross multiply
   500,744x = 681,996 × 681,996
4. Step 4: Simplify right side
   500,744x = 465,118,544,016
5. Step 5: Solve for x
   x = 465,118,544,016/500,744
6. Step 6: Final answer
   x = 928,854.95