Finding the Third Proportional to 41,665 and 91,243

Step by Step Solution

1. Step 1: Write the proportion equation
   41,665 : 91,243 = 91,243 : x
2. Step 2: Convert to fraction form
   41,665/91,243 = 91,243/x
3. Step 3: Cross multiply
   41,665x = 91,243 × 91,243
4. Step 4: Simplify right side
   41,665x = 8,325,285,049
5. Step 5: Solve for x
   x = 8,325,285,049/41,665
6. Step 6: Final answer
   x = 199,814.83