Finding the Third Proportional to 142,192 and 311,168

Step by Step Solution

1. Step 1: Write the proportion equation
   142,192 : 311,168 = 311,168 : x
2. Step 2: Convert to fraction form
   142,192/311,168 = 311,168/x
3. Step 3: Cross multiply
   142,192x = 311,168 × 311,168
4. Step 4: Simplify right side
   142,192x = 96,825,524,224
5. Step 5: Solve for x
   x = 96,825,524,224/142,192
6. Step 6: Final answer
   x = 680,949.17