Finding the Third Proportional to 105,709 and 161,912

Step by Step Solution

1. Step 1: Write the proportion equation
   105,709 : 161,912 = 161,912 : x
2. Step 2: Convert to fraction form
   105,709/161,912 = 161,912/x
3. Step 3: Cross multiply
   105,709x = 161,912 × 161,912
4. Step 4: Simplify right side
   105,709x = 26,215,495,744
5. Step 5: Solve for x
   x = 26,215,495,744/105,709
6. Step 6: Final answer
   x = 247,996.82