Finding the Third Proportional to 144,636 and 311,470

Step by Step Solution

1. Step 1: Write the proportion equation
   144,636 : 311,470 = 311,470 : x
2. Step 2: Convert to fraction form
   144,636/311,470 = 311,470/x
3. Step 3: Cross multiply
   144,636x = 311,470 × 311,470
4. Step 4: Simplify right side
   144,636x = 97,013,560,900
5. Step 5: Solve for x
   x = 97,013,560,900/144,636
6. Step 6: Final answer
   x = 670,742.84