Finding the Third Proportional to 113,424 and 238,456

Step by Step Solution

1. Step 1: Write the proportion equation
   113,424 : 238,456 = 238,456 : x
2. Step 2: Convert to fraction form
   113,424/238,456 = 238,456/x
3. Step 3: Cross multiply
   113,424x = 238,456 × 238,456
4. Step 4: Simplify right side
   113,424x = 56,861,263,936
5. Step 5: Solve for x
   x = 56,861,263,936/113,424
6. Step 6: Final answer
   x = 501,315.98