Finding the Third Proportional to 113,646 and 173,928

Step by Step Solution

1. Step 1: Write the proportion equation
   113,646 : 173,928 = 173,928 : x
2. Step 2: Convert to fraction form
   113,646/173,928 = 173,928/x
3. Step 3: Cross multiply
   113,646x = 173,928 × 173,928
4. Step 4: Simplify right side
   113,646x = 30,250,949,184
5. Step 5: Solve for x
   x = 30,250,949,184/113,646
6. Step 6: Final answer
   x = 266,185.78