Finding the Third Proportional to 113,900 and 174,298

Step by Step Solution

1. Step 1: Write the proportion equation
   113,900 : 174,298 = 174,298 : x
2. Step 2: Convert to fraction form
   113,900/174,298 = 174,298/x
3. Step 3: Cross multiply
   113,900x = 174,298 × 174,298
4. Step 4: Simplify right side
   113,900x = 30,379,792,804
5. Step 5: Solve for x
   x = 30,379,792,804/113,900
6. Step 6: Final answer
   x = 266,723.38