Finding the Third Proportional to 41,172 and 89,874

Step by Step Solution

1. Step 1: Write the proportion equation
   41,172 : 89,874 = 89,874 : x
2. Step 2: Convert to fraction form
   41,172/89,874 = 89,874/x
3. Step 3: Cross multiply
   41,172x = 89,874 × 89,874
4. Step 4: Simplify right side
   41,172x = 8,077,335,876
5. Step 5: Solve for x
   x = 8,077,335,876/41,172
6. Step 6: Final answer
   x = 196,185.17