Finding the Third Proportional to 91,957 and 198,002

Step by Step Solution

1. Step 1: Write the proportion equation
   91,957 : 198,002 = 198,002 : x
2. Step 2: Convert to fraction form
   91,957/198,002 = 198,002/x
3. Step 3: Cross multiply
   91,957x = 198,002 × 198,002
4. Step 4: Simplify right side
   91,957x = 39,204,792,004
5. Step 5: Solve for x
   x = 39,204,792,004/91,957
6. Step 6: Final answer
   x = 426,338.31