Finding the Third Proportional to 52,068 and 113,766

Step by Step Solution

1. Step 1: Write the proportion equation
   52,068 : 113,766 = 113,766 : x
2. Step 2: Convert to fraction form
   52,068/113,766 = 113,766/x
3. Step 3: Cross multiply
   52,068x = 113,766 × 113,766
4. Step 4: Simplify right side
   52,068x = 12,942,702,756
5. Step 5: Solve for x
   x = 12,942,702,756/52,068
6. Step 6: Final answer
   x = 248,573.07