Finding the Third Proportional to 111,848 and 174,540

Step by Step Solution

1. Step 1: Write the proportion equation
   111,848 : 174,540 = 174,540 : x
2. Step 2: Convert to fraction form
   111,848/174,540 = 174,540/x
3. Step 3: Cross multiply
   111,848x = 174,540 × 174,540
4. Step 4: Simplify right side
   111,848x = 30,464,211,600
5. Step 5: Solve for x
   x = 30,464,211,600/111,848
6. Step 6: Final answer
   x = 272,371.54