Finding the Third Proportional to 105,185.25 and 143,705.81

Step by Step Solution

1. Step 1: Write the proportion equation
   105,185.25 : 143,705.81 = 143,705.81 : x
2. Step 2: Convert to fraction form
   105,185.25/143,705.81 = 143,705.81/x
3. Step 3: Cross multiply
   105,185.25x = 143,705.81 × 143,705.81
4. Step 4: Simplify right side
   105,185.25x = 20,651,360,546.29
5. Step 5: Solve for x
   x = 20,651,360,546.29/105,185.25
6. Step 6: Final answer
   x = 196,333.24