Finding the Third Proportional to 105,741 and 161,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,741 : 161,959.50 = 161,959.50 : x
2. Step 2: Convert to fraction form
   105,741/161,959.50 = 161,959.50/x
3. Step 3: Cross multiply
   105,741x = 161,959.50 × 161,959.50
4. Step 4: Simplify right side
   105,741x = 26,230,879,640.25
5. Step 5: Solve for x
   x = 26,230,879,640.25/105,741
6. Step 6: Final answer
   x = 248,067.26