Finding the Third Proportional to 144,168 and 309,646

Step by Step Solution

1. Step 1: Write the proportion equation
   144,168 : 309,646 = 309,646 : x
2. Step 2: Convert to fraction form
   144,168/309,646 = 309,646/x
3. Step 3: Cross multiply
   144,168x = 309,646 × 309,646
4. Step 4: Simplify right side
   144,168x = 95,880,645,316
5. Step 5: Solve for x
   x = 95,880,645,316/144,168
6. Step 6: Final answer
   x = 665,061.91