Finding the Third Proportional to 288,949 and 383,505

Step by Step Solution

1. Step 1: Write the proportion equation
   288,949 : 383,505 = 383,505 : x
2. Step 2: Convert to fraction form
   288,949/383,505 = 383,505/x
3. Step 3: Cross multiply
   288,949x = 383,505 × 383,505
4. Step 4: Simplify right side
   288,949x = 147,076,085,025
5. Step 5: Solve for x
   x = 147,076,085,025/288,949
6. Step 6: Final answer
   x = 509,003.61