Finding the Third Proportional to 65,035 and 140,519

Step by Step Solution

1. Step 1: Write the proportion equation
   65,035 : 140,519 = 140,519 : x
2. Step 2: Convert to fraction form
   65,035/140,519 = 140,519/x
3. Step 3: Cross multiply
   65,035x = 140,519 × 140,519
4. Step 4: Simplify right side
   65,035x = 19,745,589,361
5. Step 5: Solve for x
   x = 19,745,589,361/65,035
6. Step 6: Final answer
   x = 303,614.81