Finding the Third Proportional to 41,197 and 89,944

Step by Step Solution

1. Step 1: Write the proportion equation
   41,197 : 89,944 = 89,944 : x
2. Step 2: Convert to fraction form
   41,197/89,944 = 89,944/x
3. Step 3: Cross multiply
   41,197x = 89,944 × 89,944
4. Step 4: Simplify right side
   41,197x = 8,089,923,136
5. Step 5: Solve for x
   x = 8,089,923,136/41,197
6. Step 6: Final answer
   x = 196,371.66