Finding the Third Proportional to 52,747 and 113,114

Step by Step Solution

1. Step 1: Write the proportion equation
   52,747 : 113,114 = 113,114 : x
2. Step 2: Convert to fraction form
   52,747/113,114 = 113,114/x
3. Step 3: Cross multiply
   52,747x = 113,114 × 113,114
4. Step 4: Simplify right side
   52,747x = 12,794,776,996
5. Step 5: Solve for x
   x = 12,794,776,996/52,747
6. Step 6: Final answer
   x = 242,568.81