Finding the Third Proportional to 256,144 and 562,112

Step by Step Solution

1. Step 1: Write the proportion equation
   256,144 : 562,112 = 562,112 : x
2. Step 2: Convert to fraction form
   256,144/562,112 = 562,112/x
3. Step 3: Cross multiply
   256,144x = 562,112 × 562,112
4. Step 4: Simplify right side
   256,144x = 315,969,900,544
5. Step 5: Solve for x
   x = 315,969,900,544/256,144
6. Step 6: Final answer
   x = 1,233,563.54