Finding the Third Proportional to 144,216 and 317,088

Step by Step Solution

1. Step 1: Write the proportion equation
   144,216 : 317,088 = 317,088 : x
2. Step 2: Convert to fraction form
   144,216/317,088 = 317,088/x
3. Step 3: Cross multiply
   144,216x = 317,088 × 317,088
4. Step 4: Simplify right side
   144,216x = 100,544,799,744
5. Step 5: Solve for x
   x = 100,544,799,744/144,216
6. Step 6: Final answer
   x = 697,182.00