Finding the Third Proportional to 41,200 and 89,996

Step by Step Solution

1. Step 1: Write the proportion equation
   41,200 : 89,996 = 89,996 : x
2. Step 2: Convert to fraction form
   41,200/89,996 = 89,996/x
3. Step 3: Cross multiply
   41,200x = 89,996 × 89,996
4. Step 4: Simplify right side
   41,200x = 8,099,280,016
5. Step 5: Solve for x
   x = 8,099,280,016/41,200
6. Step 6: Final answer
   x = 196,584.47