Finding the Third Proportional to 142,448 and 307,462

Step by Step Solution

1. Step 1: Write the proportion equation
   142,448 : 307,462 = 307,462 : x
2. Step 2: Convert to fraction form
   142,448/307,462 = 307,462/x
3. Step 3: Cross multiply
   142,448x = 307,462 × 307,462
4. Step 4: Simplify right side
   142,448x = 94,532,881,444
5. Step 5: Solve for x
   x = 94,532,881,444/142,448
6. Step 6: Final answer
   x = 663,630.81