Finding the Third Proportional to 89,749 and 140,802

Step by Step Solution

1. Step 1: Write the proportion equation
   89,749 : 140,802 = 140,802 : x
2. Step 2: Convert to fraction form
   89,749/140,802 = 140,802/x
3. Step 3: Cross multiply
   89,749x = 140,802 × 140,802
4. Step 4: Simplify right side
   89,749x = 19,825,203,204
5. Step 5: Solve for x
   x = 19,825,203,204/89,749
6. Step 6: Final answer
   x = 220,896.09