Finding the Third Proportional to 142,268 and 311,320

Step by Step Solution

1. Step 1: Write the proportion equation
   142,268 : 311,320 = 311,320 : x
2. Step 2: Convert to fraction form
   142,268/311,320 = 311,320/x
3. Step 3: Cross multiply
   142,268x = 311,320 × 311,320
4. Step 4: Simplify right side
   142,268x = 96,920,142,400
5. Step 5: Solve for x
   x = 96,920,142,400/142,268
6. Step 6: Final answer
   x = 681,250.47