Finding the Third Proportional to 96,885 and 141,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,885 : 141,493.50 = 141,493.50 : x
2. Step 2: Convert to fraction form
   96,885/141,493.50 = 141,493.50/x
3. Step 3: Cross multiply
   96,885x = 141,493.50 × 141,493.50
4. Step 4: Simplify right side
   96,885x = 20,020,410,542.25
5. Step 5: Solve for x
   x = 20,020,410,542.25/96,885
6. Step 6: Final answer
   x = 206,640.97