Finding the Third Proportional to 41,586 and 90,279

Step by Step Solution

1. Step 1: Write the proportion equation
   41,586 : 90,279 = 90,279 : x
2. Step 2: Convert to fraction form
   41,586/90,279 = 90,279/x
3. Step 3: Cross multiply
   41,586x = 90,279 × 90,279
4. Step 4: Simplify right side
   41,586x = 8,150,297,841
5. Step 5: Solve for x
   x = 8,150,297,841/41,586
6. Step 6: Final answer
   x = 195,986.58