Finding the Third Proportional to 199,993.50 and 422,469

Step by Step Solution

1. Step 1: Write the proportion equation
   199,993.50 : 422,469 = 422,469 : x
2. Step 2: Convert to fraction form
   199,993.50/422,469 = 422,469/x
3. Step 3: Cross multiply
   199,993.50x = 422,469 × 422,469
4. Step 4: Simplify right side
   199,993.50x = 178,480,055,961
5. Step 5: Solve for x
   x = 178,480,055,961/199,993.50
6. Step 6: Final answer
   x = 892,429.28