Finding the Third Proportional to 144,638 and 314,156

Step by Step Solution

1. Step 1: Write the proportion equation
   144,638 : 314,156 = 314,156 : x
2. Step 2: Convert to fraction form
   144,638/314,156 = 314,156/x
3. Step 3: Cross multiply
   144,638x = 314,156 × 314,156
4. Step 4: Simplify right side
   144,638x = 98,693,992,336
5. Step 5: Solve for x
   x = 98,693,992,336/144,638
6. Step 6: Final answer
   x = 682,351.75