Finding the Third Proportional to 41,427 and 89,874

Step by Step Solution

1. Step 1: Write the proportion equation
   41,427 : 89,874 = 89,874 : x
2. Step 2: Convert to fraction form
   41,427/89,874 = 89,874/x
3. Step 3: Cross multiply
   41,427x = 89,874 × 89,874
4. Step 4: Simplify right side
   41,427x = 8,077,335,876
5. Step 5: Solve for x
   x = 8,077,335,876/41,427
6. Step 6: Final answer
   x = 194,977.57