Finding the Third Proportional to 199,832 and 428,004

Step by Step Solution

1. Step 1: Write the proportion equation
   199,832 : 428,004 = 428,004 : x
2. Step 2: Convert to fraction form
   199,832/428,004 = 428,004/x
3. Step 3: Cross multiply
   199,832x = 428,004 × 428,004
4. Step 4: Simplify right side
   199,832x = 183,187,424,016
5. Step 5: Solve for x
   x = 183,187,424,016/199,832
6. Step 6: Final answer
   x = 916,707.15