Finding the Third Proportional to 105,705 and 161,906.34

Step by Step Solution

1. Step 1: Write the proportion equation
   105,705 : 161,906.34 = 161,906.34 : x
2. Step 2: Convert to fraction form
   105,705/161,906.34 = 161,906.34/x
3. Step 3: Cross multiply
   105,705x = 161,906.34 × 161,906.34
4. Step 4: Simplify right side
   105,705x = 26,213,664,146.49
5. Step 5: Solve for x
   x = 26,213,664,146.49/105,705
6. Step 6: Final answer
   x = 247,988.88