Finding the Third Proportional to 143,656 and 314,744

Step by Step Solution

1. Step 1: Write the proportion equation
   143,656 : 314,744 = 314,744 : x
2. Step 2: Convert to fraction form
   143,656/314,744 = 314,744/x
3. Step 3: Cross multiply
   143,656x = 314,744 × 314,744
4. Step 4: Simplify right side
   143,656x = 99,063,785,536
5. Step 5: Solve for x
   x = 99,063,785,536/143,656
6. Step 6: Final answer
   x = 689,590.31