Finding the Third Proportional to 188,096 and 288,049

Step by Step Solution

1. Step 1: Write the proportion equation
   188,096 : 288,049 = 288,049 : x
2. Step 2: Convert to fraction form
   188,096/288,049 = 288,049/x
3. Step 3: Cross multiply
   188,096x = 288,049 × 288,049
4. Step 4: Simplify right side
   188,096x = 82,972,226,401
5. Step 5: Solve for x
   x = 82,972,226,401/188,096
6. Step 6: Final answer
   x = 441,116.38