Finding the Third Proportional to 250,564 and 383,784

Step by Step Solution

1. Step 1: Write the proportion equation
   250,564 : 383,784 = 383,784 : x
2. Step 2: Convert to fraction form
   250,564/383,784 = 383,784/x
3. Step 3: Cross multiply
   250,564x = 383,784 × 383,784
4. Step 4: Simplify right side
   250,564x = 147,290,158,656
5. Step 5: Solve for x
   x = 147,290,158,656/250,564
6. Step 6: Final answer
   x = 587,834.48