Finding the Third Proportional to 256,404 and 562,012

Step by Step Solution

1. Step 1: Write the proportion equation
   256,404 : 562,012 = 562,012 : x
2. Step 2: Convert to fraction form
   256,404/562,012 = 562,012/x
3. Step 3: Cross multiply
   256,404x = 562,012 × 562,012
4. Step 4: Simplify right side
   256,404x = 315,857,488,144
5. Step 5: Solve for x
   x = 315,857,488,144/256,404
6. Step 6: Final answer
   x = 1,231,874.26