Finding the Third Proportional to 142,816 and 311,026

Step by Step Solution

1. Step 1: Write the proportion equation
   142,816 : 311,026 = 311,026 : x
2. Step 2: Convert to fraction form
   142,816/311,026 = 311,026/x
3. Step 3: Cross multiply
   142,816x = 311,026 × 311,026
4. Step 4: Simplify right side
   142,816x = 96,737,172,676
5. Step 5: Solve for x
   x = 96,737,172,676/142,816
6. Step 6: Final answer
   x = 677,355.29