Finding the Third Proportional to 143,223 and 313,662

Step by Step Solution

1. Step 1: Write the proportion equation
   143,223 : 313,662 = 313,662 : x
2. Step 2: Convert to fraction form
   143,223/313,662 = 313,662/x
3. Step 3: Cross multiply
   143,223x = 313,662 × 313,662
4. Step 4: Simplify right side
   143,223x = 98,383,850,244
5. Step 5: Solve for x
   x = 98,383,850,244/143,223
6. Step 6: Final answer
   x = 686,927.73