Finding the Third Proportional to 105,016.50 and 167,022

Step by Step Solution

1. Step 1: Write the proportion equation
   105,016.50 : 167,022 = 167,022 : x
2. Step 2: Convert to fraction form
   105,016.50/167,022 = 167,022/x
3. Step 3: Cross multiply
   105,016.50x = 167,022 × 167,022
4. Step 4: Simplify right side
   105,016.50x = 27,896,348,484
5. Step 5: Solve for x
   x = 27,896,348,484/105,016.50
6. Step 6: Final answer
   x = 265,637.77