Finding the Third Proportional to 89,823 and 140,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,823 : 140,905.50 = 140,905.50 : x
2. Step 2: Convert to fraction form
   89,823/140,905.50 = 140,905.50/x
3. Step 3: Cross multiply
   89,823x = 140,905.50 × 140,905.50
4. Step 4: Simplify right side
   89,823x = 19,854,359,930.25
5. Step 5: Solve for x
   x = 19,854,359,930.25/89,823
6. Step 6: Final answer
   x = 221,038.71