Finding the Third Proportional to 142,540 and 307,678

Step by Step Solution

1. Step 1: Write the proportion equation
   142,540 : 307,678 = 307,678 : x
2. Step 2: Convert to fraction form
   142,540/307,678 = 307,678/x
3. Step 3: Cross multiply
   142,540x = 307,678 × 307,678
4. Step 4: Simplify right side
   142,540x = 94,665,751,684
5. Step 5: Solve for x
   x = 94,665,751,684/142,540
6. Step 6: Final answer
   x = 664,134.64