Finding the Third Proportional to 41,959 and 91,223

Step by Step Solution

1. Step 1: Write the proportion equation
   41,959 : 91,223 = 91,223 : x
2. Step 2: Convert to fraction form
   41,959/91,223 = 91,223/x
3. Step 3: Cross multiply
   41,959x = 91,223 × 91,223
4. Step 4: Simplify right side
   41,959x = 8,321,635,729
5. Step 5: Solve for x
   x = 8,321,635,729/41,959
6. Step 6: Final answer
   x = 198,327.79