Finding the Third Proportional to 144,870 and 313,854

Step by Step Solution

1. Step 1: Write the proportion equation
   144,870 : 313,854 = 313,854 : x
2. Step 2: Convert to fraction form
   144,870/313,854 = 313,854/x
3. Step 3: Cross multiply
   144,870x = 313,854 × 313,854
4. Step 4: Simplify right side
   144,870x = 98,504,333,316
5. Step 5: Solve for x
   x = 98,504,333,316/144,870
6. Step 6: Final answer
   x = 679,949.84