Finding the Third Proportional to 105,078 and 160,759

Step by Step Solution

1. Step 1: Write the proportion equation
   105,078 : 160,759 = 160,759 : x
2. Step 2: Convert to fraction form
   105,078/160,759 = 160,759/x
3. Step 3: Cross multiply
   105,078x = 160,759 × 160,759
4. Step 4: Simplify right side
   105,078x = 25,843,456,081
5. Step 5: Solve for x
   x = 25,843,456,081/105,078
6. Step 6: Final answer
   x = 245,945.45