Finding the Third Proportional to 89,954 and 198,012

Step by Step Solution

1. Step 1: Write the proportion equation
   89,954 : 198,012 = 198,012 : x
2. Step 2: Convert to fraction form
   89,954/198,012 = 198,012/x
3. Step 3: Cross multiply
   89,954x = 198,012 × 198,012
4. Step 4: Simplify right side
   89,954x = 39,208,752,144
5. Step 5: Solve for x
   x = 39,208,752,144/89,954
6. Step 6: Final answer
   x = 435,875.58