Finding the Third Proportional to 213,492 and 464,568

Step by Step Solution

1. Step 1: Write the proportion equation
   213,492 : 464,568 = 464,568 : x
2. Step 2: Convert to fraction form
   213,492/464,568 = 464,568/x
3. Step 3: Cross multiply
   213,492x = 464,568 × 464,568
4. Step 4: Simplify right side
   213,492x = 215,823,426,624
5. Step 5: Solve for x
   x = 215,823,426,624/213,492
6. Step 6: Final answer
   x = 1,010,920.44