Finding the Third Proportional to 65,414 and 142,636

Step by Step Solution

1. Step 1: Write the proportion equation
   65,414 : 142,636 = 142,636 : x
2. Step 2: Convert to fraction form
   65,414/142,636 = 142,636/x
3. Step 3: Cross multiply
   65,414x = 142,636 × 142,636
4. Step 4: Simplify right side
   65,414x = 20,345,028,496
5. Step 5: Solve for x
   x = 20,345,028,496/65,414
6. Step 6: Final answer
   x = 311,019.48