Finding the Third Proportional to 144,792 and 314,512

Step by Step Solution

1. Step 1: Write the proportion equation
   144,792 : 314,512 = 314,512 : x
2. Step 2: Convert to fraction form
   144,792/314,512 = 314,512/x
3. Step 3: Cross multiply
   144,792x = 314,512 × 314,512
4. Step 4: Simplify right side
   144,792x = 98,917,798,144
5. Step 5: Solve for x
   x = 98,917,798,144/144,792
6. Step 6: Final answer
   x = 683,171.71