Finding the Third Proportional to 41,826 and 90,218

Step by Step Solution

1. Step 1: Write the proportion equation
   41,826 : 90,218 = 90,218 : x
2. Step 2: Convert to fraction form
   41,826/90,218 = 90,218/x
3. Step 3: Cross multiply
   41,826x = 90,218 × 90,218
4. Step 4: Simplify right side
   41,826x = 8,139,287,524
5. Step 5: Solve for x
   x = 8,139,287,524/41,826
6. Step 6: Final answer
   x = 194,598.75