Finding the Third Proportional to 50,176 and 109,568

Step by Step Solution

1. Step 1: Write the proportion equation
   50,176 : 109,568 = 109,568 : x
2. Step 2: Convert to fraction form
   50,176/109,568 = 109,568/x
3. Step 3: Cross multiply
   50,176x = 109,568 × 109,568
4. Step 4: Simplify right side
   50,176x = 12,005,146,624
5. Step 5: Solve for x
   x = 12,005,146,624/50,176
6. Step 6: Final answer
   x = 239,260.73