Finding the Third Proportional to 113,049 and 174,885

Step by Step Solution

1. Step 1: Write the proportion equation
   113,049 : 174,885 = 174,885 : x
2. Step 2: Convert to fraction form
   113,049/174,885 = 174,885/x
3. Step 3: Cross multiply
   113,049x = 174,885 × 174,885
4. Step 4: Simplify right side
   113,049x = 30,584,763,225
5. Step 5: Solve for x
   x = 30,584,763,225/113,049
6. Step 6: Final answer
   x = 270,544.31