Finding the Third Proportional to 121,264 and 262,456

Step by Step Solution

1. Step 1: Write the proportion equation
   121,264 : 262,456 = 262,456 : x
2. Step 2: Convert to fraction form
   121,264/262,456 = 262,456/x
3. Step 3: Cross multiply
   121,264x = 262,456 × 262,456
4. Step 4: Simplify right side
   121,264x = 68,883,151,936
5. Step 5: Solve for x
   x = 68,883,151,936/121,264
6. Step 6: Final answer
   x = 568,042.88