Finding the Third Proportional to 109,568 and 160,452

Step by Step Solution

1. Step 1: Write the proportion equation
   109,568 : 160,452 = 160,452 : x
2. Step 2: Convert to fraction form
   109,568/160,452 = 160,452/x
3. Step 3: Cross multiply
   109,568x = 160,452 × 160,452
4. Step 4: Simplify right side
   109,568x = 25,744,844,304
5. Step 5: Solve for x
   x = 25,744,844,304/109,568
6. Step 6: Final answer
   x = 234,966.82