Finding the Third Proportional to 144,472 and 314,864

Step by Step Solution

1. Step 1: Write the proportion equation
   144,472 : 314,864 = 314,864 : x
2. Step 2: Convert to fraction form
   144,472/314,864 = 314,864/x
3. Step 3: Cross multiply
   144,472x = 314,864 × 314,864
4. Step 4: Simplify right side
   144,472x = 99,139,338,496
5. Step 5: Solve for x
   x = 99,139,338,496/144,472
6. Step 6: Final answer
   x = 686,218.36