Finding the Third Proportional to 251,766 and 384,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   251,766 : 384,223.50 = 384,223.50 : x
2. Step 2: Convert to fraction form
   251,766/384,223.50 = 384,223.50/x
3. Step 3: Cross multiply
   251,766x = 384,223.50 × 384,223.50
4. Step 4: Simplify right side
   251,766x = 147,627,697,952.25
5. Step 5: Solve for x
   x = 147,627,697,952.25/251,766
6. Step 6: Final answer
   x = 586,368.68