Finding the Third Proportional to 96,843 and 142,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,843 : 142,309.50 = 142,309.50 : x
2. Step 2: Convert to fraction form
   96,843/142,309.50 = 142,309.50/x
3. Step 3: Cross multiply
   96,843x = 142,309.50 × 142,309.50
4. Step 4: Simplify right side
   96,843x = 20,251,993,790.25
5. Step 5: Solve for x
   x = 20,251,993,790.25/96,843
6. Step 6: Final answer
   x = 209,121.92