Finding the Third Proportional to 263,016 and 384,680

Step by Step Solution

1. Step 1: Write the proportion equation
   263,016 : 384,680 = 384,680 : x
2. Step 2: Convert to fraction form
   263,016/384,680 = 384,680/x
3. Step 3: Cross multiply
   263,016x = 384,680 × 384,680
4. Step 4: Simplify right side
   263,016x = 147,978,702,400
5. Step 5: Solve for x
   x = 147,978,702,400/263,016
6. Step 6: Final answer
   x = 562,622.44