Finding the Third Proportional to 89,736.50 and 140,789.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,736.50 : 140,789.75 = 140,789.75 : x
2. Step 2: Convert to fraction form
   89,736.50/140,789.75 = 140,789.75/x
3. Step 3: Cross multiply
   89,736.50x = 140,789.75 × 140,789.75
4. Step 4: Simplify right side
   89,736.50x = 19,821,753,705.06
5. Step 5: Solve for x
   x = 19,821,753,705.06/89,736.50
6. Step 6: Final answer
   x = 220,888.42