Finding the Third Proportional to 41,498 and 91,096

Step by Step Solution

1. Step 1: Write the proportion equation
   41,498 : 91,096 = 91,096 : x
2. Step 2: Convert to fraction form
   41,498/91,096 = 91,096/x
3. Step 3: Cross multiply
   41,498x = 91,096 × 91,096
4. Step 4: Simplify right side
   41,498x = 8,298,481,216
5. Step 5: Solve for x
   x = 8,298,481,216/41,498
6. Step 6: Final answer
   x = 199,973.04