Finding the Third Proportional to 41,591 and 90,189

Step by Step Solution

1. Step 1: Write the proportion equation
   41,591 : 90,189 = 90,189 : x
2. Step 2: Convert to fraction form
   41,591/90,189 = 90,189/x
3. Step 3: Cross multiply
   41,591x = 90,189 × 90,189
4. Step 4: Simplify right side
   41,591x = 8,134,055,721
5. Step 5: Solve for x
   x = 8,134,055,721/41,591
6. Step 6: Final answer
   x = 195,572.50