Finding the Third Proportional to 258,752 and 411,456

Step by Step Solution

1. Step 1: Write the proportion equation
   258,752 : 411,456 = 411,456 : x
2. Step 2: Convert to fraction form
   258,752/411,456 = 411,456/x
3. Step 3: Cross multiply
   258,752x = 411,456 × 411,456
4. Step 4: Simplify right side
   258,752x = 169,296,039,936
5. Step 5: Solve for x
   x = 169,296,039,936/258,752
6. Step 6: Final answer
   x = 654,279.16