Finding the Third Proportional to 52,657 and 113,744

Step by Step Solution

1. Step 1: Write the proportion equation
   52,657 : 113,744 = 113,744 : x
2. Step 2: Convert to fraction form
   52,657/113,744 = 113,744/x
3. Step 3: Cross multiply
   52,657x = 113,744 × 113,744
4. Step 4: Simplify right side
   52,657x = 12,937,697,536
5. Step 5: Solve for x
   x = 12,937,697,536/52,657
6. Step 6: Final answer
   x = 245,697.58