Finding the Third Proportional to 288,000 and 627,648

Step by Step Solution

1. Step 1: Write the proportion equation
   288,000 : 627,648 = 627,648 : x
2. Step 2: Convert to fraction form
   288,000/627,648 = 627,648/x
3. Step 3: Cross multiply
   288,000x = 627,648 × 627,648
4. Step 4: Simplify right side
   288,000x = 393,942,011,904
5. Step 5: Solve for x
   x = 393,942,011,904/288,000
6. Step 6: Final answer
   x = 1,367,854.21