Finding the Third Proportional to 113,568 and 173,376

Step by Step Solution

1. Step 1: Write the proportion equation
   113,568 : 173,376 = 173,376 : x
2. Step 2: Convert to fraction form
   113,568/173,376 = 173,376/x
3. Step 3: Cross multiply
   113,568x = 173,376 × 173,376
4. Step 4: Simplify right side
   113,568x = 30,059,237,376
5. Step 5: Solve for x
   x = 30,059,237,376/113,568
6. Step 6: Final answer
   x = 264,680.52