Finding the Third Proportional to 41,734 and 89,540

Step by Step Solution

1. Step 1: Write the proportion equation
   41,734 : 89,540 = 89,540 : x
2. Step 2: Convert to fraction form
   41,734/89,540 = 89,540/x
3. Step 3: Cross multiply
   41,734x = 89,540 × 89,540
4. Step 4: Simplify right side
   41,734x = 8,017,411,600
5. Step 5: Solve for x
   x = 8,017,411,600/41,734
6. Step 6: Final answer
   x = 192,107.43