Finding the Third Proportional to 142,414 and 311,426

Step by Step Solution

1. Step 1: Write the proportion equation
   142,414 : 311,426 = 311,426 : x
2. Step 2: Convert to fraction form
   142,414/311,426 = 311,426/x
3. Step 3: Cross multiply
   142,414x = 311,426 × 311,426
4. Step 4: Simplify right side
   142,414x = 96,986,153,476
5. Step 5: Solve for x
   x = 96,986,153,476/142,414
6. Step 6: Final answer
   x = 681,015.58