Finding the Third Proportional to 144,910 and 314,742

Step by Step Solution

1. Step 1: Write the proportion equation
   144,910 : 314,742 = 314,742 : x
2. Step 2: Convert to fraction form
   144,910/314,742 = 314,742/x
3. Step 3: Cross multiply
   144,910x = 314,742 × 314,742
4. Step 4: Simplify right side
   144,910x = 99,062,526,564
5. Step 5: Solve for x
   x = 99,062,526,564/144,910
6. Step 6: Final answer
   x = 683,614.15