Finding the Third Proportional to 144,164 and 309,638

Step by Step Solution

1. Step 1: Write the proportion equation
   144,164 : 309,638 = 309,638 : x
2. Step 2: Convert to fraction form
   144,164/309,638 = 309,638/x
3. Step 3: Cross multiply
   144,164x = 309,638 × 309,638
4. Step 4: Simplify right side
   144,164x = 95,875,691,044
5. Step 5: Solve for x
   x = 95,875,691,044/144,164
6. Step 6: Final answer
   x = 665,046.00