Finding the Third Proportional to 144,704 and 315,536

Step by Step Solution

1. Step 1: Write the proportion equation
   144,704 : 315,536 = 315,536 : x
2. Step 2: Convert to fraction form
   144,704/315,536 = 315,536/x
3. Step 3: Cross multiply
   144,704x = 315,536 × 315,536
4. Step 4: Simplify right side
   144,704x = 99,562,967,296
5. Step 5: Solve for x
   x = 99,562,967,296/144,704
6. Step 6: Final answer
   x = 688,045.72