Finding the Third Proportional to 89,867 and 140,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,867 : 140,962.50 = 140,962.50 : x
2. Step 2: Convert to fraction form
   89,867/140,962.50 = 140,962.50/x
3. Step 3: Cross multiply
   89,867x = 140,962.50 × 140,962.50
4. Step 4: Simplify right side
   89,867x = 19,870,426,406.25
5. Step 5: Solve for x
   x = 19,870,426,406.25/89,867
6. Step 6: Final answer
   x = 221,109.27