Finding the Third Proportional to 105,976.50 and 160,044.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,976.50 : 160,044.75 = 160,044.75 : x
2. Step 2: Convert to fraction form
   105,976.50/160,044.75 = 160,044.75/x
3. Step 3: Cross multiply
   105,976.50x = 160,044.75 × 160,044.75
4. Step 4: Simplify right side
   105,976.50x = 25,614,322,002.56
5. Step 5: Solve for x
   x = 25,614,322,002.56/105,976.50
6. Step 6: Final answer
   x = 241,698.13