Finding the Third Proportional to 105,707.81 and 161,910.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105,707.81 : 161,910.56 = 161,910.56 : x
2. Step 2: Convert to fraction form
   105,707.81/161,910.56 = 161,910.56/x
3. Step 3: Cross multiply
   105,707.81x = 161,910.56 × 161,910.56
4. Step 4: Simplify right side
   105,707.81x = 26,215,030,249.07
5. Step 5: Solve for x
   x = 26,215,030,249.07/105,707.81
6. Step 6: Final answer
   x = 247,995.20