Finding the Third Proportional to 51,568 and 109,880

Step by Step Solution

1. Step 1: Write the proportion equation
   51,568 : 109,880 = 109,880 : x
2. Step 2: Convert to fraction form
   51,568/109,880 = 109,880/x
3. Step 3: Cross multiply
   51,568x = 109,880 × 109,880
4. Step 4: Simplify right side
   51,568x = 12,073,614,400
5. Step 5: Solve for x
   x = 12,073,614,400/51,568
6. Step 6: Final answer
   x = 234,129.97