Finding the Third Proportional to 144,243 and 314,730

Step by Step Solution

1. Step 1: Write the proportion equation
   144,243 : 314,730 = 314,730 : x
2. Step 2: Convert to fraction form
   144,243/314,730 = 314,730/x
3. Step 3: Cross multiply
   144,243x = 314,730 × 314,730
4. Step 4: Simplify right side
   144,243x = 99,054,972,900
5. Step 5: Solve for x
   x = 99,054,972,900/144,243
6. Step 6: Final answer
   x = 686,722.91