Finding the Third Proportional to 288,944 and 383,500

Step by Step Solution

1. Step 1: Write the proportion equation
   288,944 : 383,500 = 383,500 : x
2. Step 2: Convert to fraction form
   288,944/383,500 = 383,500/x
3. Step 3: Cross multiply
   288,944x = 383,500 × 383,500
4. Step 4: Simplify right side
   288,944x = 147,072,250,000
5. Step 5: Solve for x
   x = 147,072,250,000/288,944
6. Step 6: Final answer
   x = 508,999.15