Finding the Third Proportional to 96,828 and 199,002

Step by Step Solution

1. Step 1: Write the proportion equation
   96,828 : 199,002 = 199,002 : x
2. Step 2: Convert to fraction form
   96,828/199,002 = 199,002/x
3. Step 3: Cross multiply
   96,828x = 199,002 × 199,002
4. Step 4: Simplify right side
   96,828x = 39,601,796,004
5. Step 5: Solve for x
   x = 39,601,796,004/96,828
6. Step 6: Final answer
   x = 408,991.16