Finding the Third Proportional to 144,246 and 314,736

Step by Step Solution

1. Step 1: Write the proportion equation
   144,246 : 314,736 = 314,736 : x
2. Step 2: Convert to fraction form
   144,246/314,736 = 314,736/x
3. Step 3: Cross multiply
   144,246x = 314,736 × 314,736
4. Step 4: Simplify right side
   144,246x = 99,058,749,696
5. Step 5: Solve for x
   x = 99,058,749,696/144,246
6. Step 6: Final answer
   x = 686,734.81