Finding the Third Proportional to 41,814 and 91,404

Step by Step Solution

1. Step 1: Write the proportion equation
   41,814 : 91,404 = 91,404 : x
2. Step 2: Convert to fraction form
   41,814/91,404 = 91,404/x
3. Step 3: Cross multiply
   41,814x = 91,404 × 91,404
4. Step 4: Simplify right side
   41,814x = 8,354,691,216
5. Step 5: Solve for x
   x = 8,354,691,216/41,814
6. Step 6: Final answer
   x = 199,806.07