Finding the Third Proportional to 248,306 and 384,404

Step by Step Solution

1. Step 1: Write the proportion equation
   248,306 : 384,404 = 384,404 : x
2. Step 2: Convert to fraction form
   248,306/384,404 = 384,404/x
3. Step 3: Cross multiply
   248,306x = 384,404 × 384,404
4. Step 4: Simplify right side
   248,306x = 147,766,435,216
5. Step 5: Solve for x
   x = 147,766,435,216/248,306
6. Step 6: Final answer
   x = 595,098.13