Finding the Third Proportional to 113,022 and 174,729

Step by Step Solution

1. Step 1: Write the proportion equation
   113,022 : 174,729 = 174,729 : x
2. Step 2: Convert to fraction form
   113,022/174,729 = 174,729/x
3. Step 3: Cross multiply
   113,022x = 174,729 × 174,729
4. Step 4: Simplify right side
   113,022x = 30,530,223,441
5. Step 5: Solve for x
   x = 30,530,223,441/113,022
6. Step 6: Final answer
   x = 270,126.38