Finding the Third Proportional to 41,456 and 90,268

Step by Step Solution

1. Step 1: Write the proportion equation
   41,456 : 90,268 = 90,268 : x
2. Step 2: Convert to fraction form
   41,456/90,268 = 90,268/x
3. Step 3: Cross multiply
   41,456x = 90,268 × 90,268
4. Step 4: Simplify right side
   41,456x = 8,148,311,824
5. Step 5: Solve for x
   x = 8,148,311,824/41,456
6. Step 6: Final answer
   x = 196,553.26