Finding the Third Proportional to 142,946 and 313,540

Step by Step Solution

1. Step 1: Write the proportion equation
   142,946 : 313,540 = 313,540 : x
2. Step 2: Convert to fraction form
   142,946/313,540 = 313,540/x
3. Step 3: Cross multiply
   142,946x = 313,540 × 313,540
4. Step 4: Simplify right side
   142,946x = 98,307,331,600
5. Step 5: Solve for x
   x = 98,307,331,600/142,946
6. Step 6: Final answer
   x = 687,723.56