Finding the Third Proportional to 52,166 and 113,647

Step by Step Solution

1. Step 1: Write the proportion equation
   52,166 : 113,647 = 113,647 : x
2. Step 2: Convert to fraction form
   52,166/113,647 = 113,647/x
3. Step 3: Cross multiply
   52,166x = 113,647 × 113,647
4. Step 4: Simplify right side
   52,166x = 12,915,640,609
5. Step 5: Solve for x
   x = 12,915,640,609/52,166
6. Step 6: Final answer
   x = 247,587.33