Finding the Third Proportional to 65,636 and 140,612

Step by Step Solution

1. Step 1: Write the proportion equation
   65,636 : 140,612 = 140,612 : x
2. Step 2: Convert to fraction form
   65,636/140,612 = 140,612/x
3. Step 3: Cross multiply
   65,636x = 140,612 × 140,612
4. Step 4: Simplify right side
   65,636x = 19,771,734,544
5. Step 5: Solve for x
   x = 19,771,734,544/65,636
6. Step 6: Final answer
   x = 301,233.08