Finding the Third Proportional to 144,758 and 315,004

Step by Step Solution

1. Step 1: Write the proportion equation
   144,758 : 315,004 = 315,004 : x
2. Step 2: Convert to fraction form
   144,758/315,004 = 315,004/x
3. Step 3: Cross multiply
   144,758x = 315,004 × 315,004
4. Step 4: Simplify right side
   144,758x = 99,227,520,016
5. Step 5: Solve for x
   x = 99,227,520,016/144,758
6. Step 6: Final answer
   x = 685,471.75