Finding the Third Proportional to 142,446 and 307,458

Step by Step Solution

1. Step 1: Write the proportion equation
   142,446 : 307,458 = 307,458 : x
2. Step 2: Convert to fraction form
   142,446/307,458 = 307,458/x
3. Step 3: Cross multiply
   142,446x = 307,458 × 307,458
4. Step 4: Simplify right side
   142,446x = 94,530,421,764
5. Step 5: Solve for x
   x = 94,530,421,764/142,446
6. Step 6: Final answer
   x = 663,622.86