Finding the Third Proportional to 65,758 and 142,027

Step by Step Solution

1. Step 1: Write the proportion equation
   65,758 : 142,027 = 142,027 : x
2. Step 2: Convert to fraction form
   65,758/142,027 = 142,027/x
3. Step 3: Cross multiply
   65,758x = 142,027 × 142,027
4. Step 4: Simplify right side
   65,758x = 20,171,668,729
5. Step 5: Solve for x
   x = 20,171,668,729/65,758
6. Step 6: Final answer
   x = 306,756.12