Finding the Third Proportional to 142,401 and 307,644

Step by Step Solution

1. Step 1: Write the proportion equation
   142,401 : 307,644 = 307,644 : x
2. Step 2: Convert to fraction form
   142,401/307,644 = 307,644/x
3. Step 3: Cross multiply
   142,401x = 307,644 × 307,644
4. Step 4: Simplify right side
   142,401x = 94,644,830,736
5. Step 5: Solve for x
   x = 94,644,830,736/142,401
6. Step 6: Final answer
   x = 664,636.00