Finding the Third Proportional to 65,002 and 140,665

Step by Step Solution

1. Step 1: Write the proportion equation
   65,002 : 140,665 = 140,665 : x
2. Step 2: Convert to fraction form
   65,002/140,665 = 140,665/x
3. Step 3: Cross multiply
   65,002x = 140,665 × 140,665
4. Step 4: Simplify right side
   65,002x = 19,786,642,225
5. Step 5: Solve for x
   x = 19,786,642,225/65,002
6. Step 6: Final answer
   x = 304,400.51