Finding the Third Proportional to 113,876 and 173,568

Step by Step Solution

1. Step 1: Write the proportion equation
   113,876 : 173,568 = 173,568 : x
2. Step 2: Convert to fraction form
   113,876/173,568 = 173,568/x
3. Step 3: Cross multiply
   113,876x = 173,568 × 173,568
4. Step 4: Simplify right side
   113,876x = 30,125,850,624
5. Step 5: Solve for x
   x = 30,125,850,624/113,876
6. Step 6: Final answer
   x = 264,549.60