Finding the Third Proportional to 96,049 and 140,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,049 : 140,959.50 = 140,959.50 : x
2. Step 2: Convert to fraction form
   96,049/140,959.50 = 140,959.50/x
3. Step 3: Cross multiply
   96,049x = 140,959.50 × 140,959.50
4. Step 4: Simplify right side
   96,049x = 19,869,580,640.25
5. Step 5: Solve for x
   x = 19,869,580,640.25/96,049
6. Step 6: Final answer
   x = 206,869.21