Finding the Third Proportional to 213,504 and 494,208

Step by Step Solution

1. Step 1: Write the proportion equation
   213,504 : 494,208 = 494,208 : x
2. Step 2: Convert to fraction form
   213,504/494,208 = 494,208/x
3. Step 3: Cross multiply
   213,504x = 494,208 × 494,208
4. Step 4: Simplify right side
   213,504x = 244,241,547,264
5. Step 5: Solve for x
   x = 244,241,547,264/213,504
6. Step 6: Final answer
   x = 1,143,967.08