Finding the Third Proportional to 113,048 and 174,965

Step by Step Solution

1. Step 1: Write the proportion equation
   113,048 : 174,965 = 174,965 : x
2. Step 2: Convert to fraction form
   113,048/174,965 = 174,965/x
3. Step 3: Cross multiply
   113,048x = 174,965 × 174,965
4. Step 4: Simplify right side
   113,048x = 30,612,751,225
5. Step 5: Solve for x
   x = 30,612,751,225/113,048
6. Step 6: Final answer
   x = 270,794.28