Finding the Third Proportional to 144,630 and 311,456

Step by Step Solution

1. Step 1: Write the proportion equation
   144,630 : 311,456 = 311,456 : x
2. Step 2: Convert to fraction form
   144,630/311,456 = 311,456/x
3. Step 3: Cross multiply
   144,630x = 311,456 × 311,456
4. Step 4: Simplify right side
   144,630x = 97,004,839,936
5. Step 5: Solve for x
   x = 97,004,839,936/144,630
6. Step 6: Final answer
   x = 670,710.36