Finding the Third Proportional to 175,544 and 384,540

Step by Step Solution

1. Step 1: Write the proportion equation
   175,544 : 384,540 = 384,540 : x
2. Step 2: Convert to fraction form
   175,544/384,540 = 384,540/x
3. Step 3: Cross multiply
   175,544x = 384,540 × 384,540
4. Step 4: Simplify right side
   175,544x = 147,871,011,600
5. Step 5: Solve for x
   x = 147,871,011,600/175,544
6. Step 6: Final answer
   x = 842,358.68