Finding the Third Proportional to 262,772.50 and 576,413

Step by Step Solution

1. Step 1: Write the proportion equation
   262,772.50 : 576,413 = 576,413 : x
2. Step 2: Convert to fraction form
   262,772.50/576,413 = 576,413/x
3. Step 3: Cross multiply
   262,772.50x = 576,413 × 576,413
4. Step 4: Simplify right side
   262,772.50x = 332,251,946,569
5. Step 5: Solve for x
   x = 332,251,946,569/262,772.50
6. Step 6: Final answer
   x = 1,264,409.12