Finding the Third Proportional to 140,514 and 205,512

Step by Step Solution

1. Step 1: Write the proportion equation
   140,514 : 205,512 = 205,512 : x
2. Step 2: Convert to fraction form
   140,514/205,512 = 205,512/x
3. Step 3: Cross multiply
   140,514x = 205,512 × 205,512
4. Step 4: Simplify right side
   140,514x = 42,235,182,144
5. Step 5: Solve for x
   x = 42,235,182,144/140,514
6. Step 6: Final answer
   x = 300,576.33