Finding the Third Proportional to 105,387 and 160,707

Step by Step Solution

1. Step 1: Write the proportion equation
   105,387 : 160,707 = 160,707 : x
2. Step 2: Convert to fraction form
   105,387/160,707 = 160,707/x
3. Step 3: Cross multiply
   105,387x = 160,707 × 160,707
4. Step 4: Simplify right side
   105,387x = 25,826,739,849
5. Step 5: Solve for x
   x = 25,826,739,849/105,387
6. Step 6: Final answer
   x = 245,065.71