Finding the Third Proportional to 140,658 and 200,998

Step by Step Solution

1. Step 1: Write the proportion equation
   140,658 : 200,998 = 200,998 : x
2. Step 2: Convert to fraction form
   140,658/200,998 = 200,998/x
3. Step 3: Cross multiply
   140,658x = 200,998 × 200,998
4. Step 4: Simplify right side
   140,658x = 40,400,196,004
5. Step 5: Solve for x
   x = 40,400,196,004/140,658
6. Step 6: Final answer
   x = 287,222.88