Finding the Third Proportional to 144,906 and 314,734

Step by Step Solution

1. Step 1: Write the proportion equation
   144,906 : 314,734 = 314,734 : x
2. Step 2: Convert to fraction form
   144,906/314,734 = 314,734/x
3. Step 3: Cross multiply
   144,906x = 314,734 × 314,734
4. Step 4: Simplify right side
   144,906x = 99,057,490,756
5. Step 5: Solve for x
   x = 99,057,490,756/144,906
6. Step 6: Final answer
   x = 683,598.27