Finding the Third Proportional to 105,389 and 160,760

Step by Step Solution

1. Step 1: Write the proportion equation
   105,389 : 160,760 = 160,760 : x
2. Step 2: Convert to fraction form
   105,389/160,760 = 160,760/x
3. Step 3: Cross multiply
   105,389x = 160,760 × 160,760
4. Step 4: Simplify right side
   105,389x = 25,843,777,600
5. Step 5: Solve for x
   x = 25,843,777,600/105,389
6. Step 6: Final answer
   x = 245,222.72