Finding the Third Proportional to 41,157 and 89,847

Step by Step Solution

1. Step 1: Write the proportion equation
   41,157 : 89,847 = 89,847 : x
2. Step 2: Convert to fraction form
   41,157/89,847 = 89,847/x
3. Step 3: Cross multiply
   41,157x = 89,847 × 89,847
4. Step 4: Simplify right side
   41,157x = 8,072,483,409
5. Step 5: Solve for x
   x = 8,072,483,409/41,157
6. Step 6: Final answer
   x = 196,138.77