Finding the Third Proportional to 41,784 and 91,189

Step by Step Solution

1. Step 1: Write the proportion equation
   41,784 : 91,189 = 91,189 : x
2. Step 2: Convert to fraction form
   41,784/91,189 = 91,189/x
3. Step 3: Cross multiply
   41,784x = 91,189 × 91,189
4. Step 4: Simplify right side
   41,784x = 8,315,433,721
5. Step 5: Solve for x
   x = 8,315,433,721/41,784
6. Step 6: Final answer
   x = 199,010.00