Finding the Third Proportional to 52,872 and 114,456

Step by Step Solution

1. Step 1: Write the proportion equation
   52,872 : 114,456 = 114,456 : x
2. Step 2: Convert to fraction form
   52,872/114,456 = 114,456/x
3. Step 3: Cross multiply
   52,872x = 114,456 × 114,456
4. Step 4: Simplify right side
   52,872x = 13,100,175,936
5. Step 5: Solve for x
   x = 13,100,175,936/52,872
6. Step 6: Final answer
   x = 247,771.52