Finding the Third Proportional to 142,863 and 311,124

Step by Step Solution

1. Step 1: Write the proportion equation
   142,863 : 311,124 = 311,124 : x
2. Step 2: Convert to fraction form
   142,863/311,124 = 311,124/x
3. Step 3: Cross multiply
   142,863x = 311,124 × 311,124
4. Step 4: Simplify right side
   142,863x = 96,798,143,376
5. Step 5: Solve for x
   x = 96,798,143,376/142,863
6. Step 6: Final answer
   x = 677,559.22