Finding the Third Proportional to 258,260 and 562,256

Step by Step Solution

1. Step 1: Write the proportion equation
   258,260 : 562,256 = 562,256 : x
2. Step 2: Convert to fraction form
   258,260/562,256 = 562,256/x
3. Step 3: Cross multiply
   258,260x = 562,256 × 562,256
4. Step 4: Simplify right side
   258,260x = 316,131,809,536
5. Step 5: Solve for x
   x = 316,131,809,536/258,260
6. Step 6: Final answer
   x = 1,224,083.52