Finding the Third Proportional to 105,976 and 160,044

Step by Step Solution

1. Step 1: Write the proportion equation
   105,976 : 160,044 = 160,044 : x
2. Step 2: Convert to fraction form
   105,976/160,044 = 160,044/x
3. Step 3: Cross multiply
   105,976x = 160,044 × 160,044
4. Step 4: Simplify right side
   105,976x = 25,614,081,936
5. Step 5: Solve for x
   x = 25,614,081,936/105,976
6. Step 6: Final answer
   x = 241,697.01