Finding the Third Proportional to 89,865 and 140,959.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,865 : 140,959.50 = 140,959.50 : x
2. Step 2: Convert to fraction form
   89,865/140,959.50 = 140,959.50/x
3. Step 3: Cross multiply
   89,865x = 140,959.50 × 140,959.50
4. Step 4: Simplify right side
   89,865x = 19,869,580,640.25
5. Step 5: Solve for x
   x = 19,869,580,640.25/89,865
6. Step 6: Final answer
   x = 221,104.78