Finding the Third Proportional to 89,825 and 140,909

Step by Step Solution

1. Step 1: Write the proportion equation
   89,825 : 140,909 = 140,909 : x
2. Step 2: Convert to fraction form
   89,825/140,909 = 140,909/x
3. Step 3: Cross multiply
   89,825x = 140,909 × 140,909
4. Step 4: Simplify right side
   89,825x = 19,855,346,281
5. Step 5: Solve for x
   x = 19,855,346,281/89,825
6. Step 6: Final answer
   x = 221,044.77