Finding the Third Proportional to 109,638 and 160,568

Step by Step Solution

1. Step 1: Write the proportion equation
   109,638 : 160,568 = 160,568 : x
2. Step 2: Convert to fraction form
   109,638/160,568 = 160,568/x
3. Step 3: Cross multiply
   109,638x = 160,568 × 160,568
4. Step 4: Simplify right side
   109,638x = 25,782,082,624
5. Step 5: Solve for x
   x = 25,782,082,624/109,638
6. Step 6: Final answer
   x = 235,156.45