Finding the Third Proportional to 52,774 and 113,830

Step by Step Solution

1. Step 1: Write the proportion equation
   52,774 : 113,830 = 113,830 : x
2. Step 2: Convert to fraction form
   52,774/113,830 = 113,830/x
3. Step 3: Cross multiply
   52,774x = 113,830 × 113,830
4. Step 4: Simplify right side
   52,774x = 12,957,268,900
5. Step 5: Solve for x
   x = 12,957,268,900/52,774
6. Step 6: Final answer
   x = 245,523.72