Finding the Third Proportional to 105,186.75 and 143,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,186.75 : 143,707.50 = 143,707.50 : x
2. Step 2: Convert to fraction form
   105,186.75/143,707.50 = 143,707.50/x
3. Step 3: Cross multiply
   105,186.75x = 143,707.50 × 143,707.50
4. Step 4: Simplify right side
   105,186.75x = 20,651,845,556.25
5. Step 5: Solve for x
   x = 20,651,845,556.25/105,186.75
6. Step 6: Final answer
   x = 196,335.05