Finding the Third Proportional to 105,709.50 and 161,913

Step by Step Solution

1. Step 1: Write the proportion equation
   105,709.50 : 161,913 = 161,913 : x
2. Step 2: Convert to fraction form
   105,709.50/161,913 = 161,913/x
3. Step 3: Cross multiply
   105,709.50x = 161,913 × 161,913
4. Step 4: Simplify right side
   105,709.50x = 26,215,819,569
5. Step 5: Solve for x
   x = 26,215,819,569/105,709.50
6. Step 6: Final answer
   x = 247,998.71