Finding the Third Proportional to 113,424 and 231,456

Step by Step Solution

1. Step 1: Write the proportion equation
   113,424 : 231,456 = 231,456 : x
2. Step 2: Convert to fraction form
   113,424/231,456 = 231,456/x
3. Step 3: Cross multiply
   113,424x = 231,456 × 231,456
4. Step 4: Simplify right side
   113,424x = 53,571,879,936
5. Step 5: Solve for x
   x = 53,571,879,936/113,424
6. Step 6: Final answer
   x = 472,315.21