Finding the Third Proportional to 313,404 and 689,016

Step by Step Solution

1. Step 1: Write the proportion equation
   313,404 : 689,016 = 689,016 : x
2. Step 2: Convert to fraction form
   313,404/689,016 = 689,016/x
3. Step 3: Cross multiply
   313,404x = 689,016 × 689,016
4. Step 4: Simplify right side
   313,404x = 474,743,048,256
5. Step 5: Solve for x
   x = 474,743,048,256/313,404
6. Step 6: Final answer
   x = 1,514,795.75