Finding the Third Proportional to 140,656 and 200,995

Step by Step Solution

1. Step 1: Write the proportion equation
   140,656 : 200,995 = 200,995 : x
2. Step 2: Convert to fraction form
   140,656/200,995 = 200,995/x
3. Step 3: Cross multiply
   140,656x = 200,995 × 200,995
4. Step 4: Simplify right side
   140,656x = 40,398,990,025
5. Step 5: Solve for x
   x = 40,398,990,025/140,656
6. Step 6: Final answer
   x = 287,218.39