Finding the Third Proportional to 123,426 and 174,744

Step by Step Solution

1. Step 1: Write the proportion equation
   123,426 : 174,744 = 174,744 : x
2. Step 2: Convert to fraction form
   123,426/174,744 = 174,744/x
3. Step 3: Cross multiply
   123,426x = 174,744 × 174,744
4. Step 4: Simplify right side
   123,426x = 30,535,465,536
5. Step 5: Solve for x
   x = 30,535,465,536/123,426
6. Step 6: Final answer
   x = 247,398.97