Finding the Third Proportional to 41,096 and 90,274

Step by Step Solution

1. Step 1: Write the proportion equation
   41,096 : 90,274 = 90,274 : x
2. Step 2: Convert to fraction form
   41,096/90,274 = 90,274/x
3. Step 3: Cross multiply
   41,096x = 90,274 × 90,274
4. Step 4: Simplify right side
   41,096x = 8,149,395,076
5. Step 5: Solve for x
   x = 8,149,395,076/41,096
6. Step 6: Final answer
   x = 198,301.42