Finding the Third Proportional to 89,950 and 198,004

Step by Step Solution

1. Step 1: Write the proportion equation
   89,950 : 198,004 = 198,004 : x
2. Step 2: Convert to fraction form
   89,950/198,004 = 198,004/x
3. Step 3: Cross multiply
   89,950x = 198,004 × 198,004
4. Step 4: Simplify right side
   89,950x = 39,205,584,016
5. Step 5: Solve for x
   x = 39,205,584,016/89,950
6. Step 6: Final answer
   x = 435,859.74