Finding the Third Proportional to 142,401 and 311,400

Step by Step Solution

1. Step 1: Write the proportion equation
   142,401 : 311,400 = 311,400 : x
2. Step 2: Convert to fraction form
   142,401/311,400 = 311,400/x
3. Step 3: Cross multiply
   142,401x = 311,400 × 311,400
4. Step 4: Simplify right side
   142,401x = 96,969,960,000
5. Step 5: Solve for x
   x = 96,969,960,000/142,401
6. Step 6: Final answer
   x = 680,964.04