Finding the Third Proportional to 213,040 and 464,212

Step by Step Solution

1. Step 1: Write the proportion equation
   213,040 : 464,212 = 464,212 : x
2. Step 2: Convert to fraction form
   213,040/464,212 = 464,212/x
3. Step 3: Cross multiply
   213,040x = 464,212 × 464,212
4. Step 4: Simplify right side
   213,040x = 215,492,780,944
5. Step 5: Solve for x
   x = 215,492,780,944/213,040
6. Step 6: Final answer
   x = 1,011,513.24