Finding the Third Proportional to 142,000 and 311,072

Step by Step Solution

1. Step 1: Write the proportion equation
   142,000 : 311,072 = 311,072 : x
2. Step 2: Convert to fraction form
   142,000/311,072 = 311,072/x
3. Step 3: Cross multiply
   142,000x = 311,072 × 311,072
4. Step 4: Simplify right side
   142,000x = 96,765,789,184
5. Step 5: Solve for x
   x = 96,765,789,184/142,000
6. Step 6: Final answer
   x = 681,449.22