Finding the Third Proportional to 140,982 and 205,847

Step by Step Solution

1. Step 1: Write the proportion equation
   140,982 : 205,847 = 205,847 : x
2. Step 2: Convert to fraction form
   140,982/205,847 = 205,847/x
3. Step 3: Cross multiply
   140,982x = 205,847 × 205,847
4. Step 4: Simplify right side
   140,982x = 42,372,987,409
5. Step 5: Solve for x
   x = 42,372,987,409/140,982
6. Step 6: Final answer
   x = 300,556.01