Finding the Third Proportional to 65,469 and 140,626

Step by Step Solution

1. Step 1: Write the proportion equation
   65,469 : 140,626 = 140,626 : x
2. Step 2: Convert to fraction form
   65,469/140,626 = 140,626/x
3. Step 3: Cross multiply
   65,469x = 140,626 × 140,626
4. Step 4: Simplify right side
   65,469x = 19,775,671,876
5. Step 5: Solve for x
   x = 19,775,671,876/65,469
6. Step 6: Final answer
   x = 302,061.62