Finding the Third Proportional to 144,242 and 314,728

Step by Step Solution

1. Step 1: Write the proportion equation
   144,242 : 314,728 = 314,728 : x
2. Step 2: Convert to fraction form
   144,242/314,728 = 314,728/x
3. Step 3: Cross multiply
   144,242x = 314,728 × 314,728
4. Step 4: Simplify right side
   144,242x = 99,053,713,984
5. Step 5: Solve for x
   x = 99,053,713,984/144,242
6. Step 6: Final answer
   x = 686,718.94