Finding the Third Proportional to 113,544 and 175,701

Step by Step Solution

1. Step 1: Write the proportion equation
   113,544 : 175,701 = 175,701 : x
2. Step 2: Convert to fraction form
   113,544/175,701 = 175,701/x
3. Step 3: Cross multiply
   113,544x = 175,701 × 175,701
4. Step 4: Simplify right side
   113,544x = 30,870,841,401
5. Step 5: Solve for x
   x = 30,870,841,401/113,544
6. Step 6: Final answer
   x = 271,884.39