Finding the Third Proportional to 260,784 and 383,760

Step by Step Solution

1. Step 1: Write the proportion equation
   260,784 : 383,760 = 383,760 : x
2. Step 2: Convert to fraction form
   260,784/383,760 = 383,760/x
3. Step 3: Cross multiply
   260,784x = 383,760 × 383,760
4. Step 4: Simplify right side
   260,784x = 147,271,737,600
5. Step 5: Solve for x
   x = 147,271,737,600/260,784
6. Step 6: Final answer
   x = 564,726.89