Finding the Third Proportional to 251,772 and 384,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   251,772 : 384,229.50 = 384,229.50 : x
2. Step 2: Convert to fraction form
   251,772/384,229.50 = 384,229.50/x
3. Step 3: Cross multiply
   251,772x = 384,229.50 × 384,229.50
4. Step 4: Simplify right side
   251,772x = 147,632,308,670.25
5. Step 5: Solve for x
   x = 147,632,308,670.25/251,772
6. Step 6: Final answer
   x = 586,373.02