Finding the Third Proportional to 52,746 and 113,740

Step by Step Solution

1. Step 1: Write the proportion equation
   52,746 : 113,740 = 113,740 : x
2. Step 2: Convert to fraction form
   52,746/113,740 = 113,740/x
3. Step 3: Cross multiply
   52,746x = 113,740 × 113,740
4. Step 4: Simplify right side
   52,746x = 12,936,787,600
5. Step 5: Solve for x
   x = 12,936,787,600/52,746
6. Step 6: Final answer
   x = 245,265.76