Finding the Third Proportional to 213,042 and 464,216

Step by Step Solution

1. Step 1: Write the proportion equation
   213,042 : 464,216 = 464,216 : x
2. Step 2: Convert to fraction form
   213,042/464,216 = 464,216/x
3. Step 3: Cross multiply
   213,042x = 464,216 × 464,216
4. Step 4: Simplify right side
   213,042x = 215,496,494,656
5. Step 5: Solve for x
   x = 215,496,494,656/213,042
6. Step 6: Final answer
   x = 1,011,521.18