Finding the Third Proportional to 144,976 and 311,410

Step by Step Solution

1. Step 1: Write the proportion equation
   144,976 : 311,410 = 311,410 : x
2. Step 2: Convert to fraction form
   144,976/311,410 = 311,410/x
3. Step 3: Cross multiply
   144,976x = 311,410 × 311,410
4. Step 4: Simplify right side
   144,976x = 96,976,188,100
5. Step 5: Solve for x
   x = 96,976,188,100/144,976
6. Step 6: Final answer
   x = 668,912.01