Finding the Third Proportional to 142,524 and 307,648

Step by Step Solution

1. Step 1: Write the proportion equation
   142,524 : 307,648 = 307,648 : x
2. Step 2: Convert to fraction form
   142,524/307,648 = 307,648/x
3. Step 3: Cross multiply
   142,524x = 307,648 × 307,648
4. Step 4: Simplify right side
   142,524x = 94,647,291,904
5. Step 5: Solve for x
   x = 94,647,291,904/142,524
6. Step 6: Final answer
   x = 664,079.68