Finding the Third Proportional to 144,215 and 309,742

Step by Step Solution

1. Step 1: Write the proportion equation
   144,215 : 309,742 = 309,742 : x
2. Step 2: Convert to fraction form
   144,215/309,742 = 309,742/x
3. Step 3: Cross multiply
   144,215x = 309,742 × 309,742
4. Step 4: Simplify right side
   144,215x = 95,940,106,564
5. Step 5: Solve for x
   x = 95,940,106,564/144,215
6. Step 6: Final answer
   x = 665,257.47