Finding the Third Proportional to 52,434 and 113,616

Step by Step Solution

1. Step 1: Write the proportion equation
   52,434 : 113,616 = 113,616 : x
2. Step 2: Convert to fraction form
   52,434/113,616 = 113,616/x
3. Step 3: Cross multiply
   52,434x = 113,616 × 113,616
4. Step 4: Simplify right side
   52,434x = 12,908,595,456
5. Step 5: Solve for x
   x = 12,908,595,456/52,434
6. Step 6: Final answer
   x = 246,187.50