Finding the Third Proportional to 105,707.50 and 161,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,707.50 : 161,910.50 = 161,910.50 : x
2. Step 2: Convert to fraction form
   105,707.50/161,910.50 = 161,910.50/x
3. Step 3: Cross multiply
   105,707.50x = 161,910.50 × 161,910.50
4. Step 4: Simplify right side
   105,707.50x = 26,215,010,010.25
5. Step 5: Solve for x
   x = 26,215,010,010.25/105,707.50
6. Step 6: Final answer
   x = 247,995.74