Finding the Third Proportional to 142,960 and 313,928

Step by Step Solution

1. Step 1: Write the proportion equation
   142,960 : 313,928 = 313,928 : x
2. Step 2: Convert to fraction form
   142,960/313,928 = 313,928/x
3. Step 3: Cross multiply
   142,960x = 313,928 × 313,928
4. Step 4: Simplify right side
   142,960x = 98,550,789,184
5. Step 5: Solve for x
   x = 98,550,789,184/142,960
6. Step 6: Final answer
   x = 689,359.19