Finding the Third Proportional to 140,514 and 205,507

Step by Step Solution

1. Step 1: Write the proportion equation
   140,514 : 205,507 = 205,507 : x
2. Step 2: Convert to fraction form
   140,514/205,507 = 205,507/x
3. Step 3: Cross multiply
   140,514x = 205,507 × 205,507
4. Step 4: Simplify right side
   140,514x = 42,233,127,049
5. Step 5: Solve for x
   x = 42,233,127,049/140,514
6. Step 6: Final answer
   x = 300,561.70