Finding the Third Proportional to 140,105 and 192,661

Step by Step Solution

1. Step 1: Write the proportion equation
   140,105 : 192,661 = 192,661 : x
2. Step 2: Convert to fraction form
   140,105/192,661 = 192,661/x
3. Step 3: Cross multiply
   140,105x = 192,661 × 192,661
4. Step 4: Simplify right side
   140,105x = 37,118,260,921
5. Step 5: Solve for x
   x = 37,118,260,921/140,105
6. Step 6: Final answer
   x = 264,931.74