Finding the Third Proportional to 144,612 and 311,424

Step by Step Solution

1. Step 1: Write the proportion equation
   144,612 : 311,424 = 311,424 : x
2. Step 2: Convert to fraction form
   144,612/311,424 = 311,424/x
3. Step 3: Cross multiply
   144,612x = 311,424 × 311,424
4. Step 4: Simplify right side
   144,612x = 96,984,907,776
5. Step 5: Solve for x
   x = 96,984,907,776/144,612
6. Step 6: Final answer
   x = 670,656.02