Finding the Third Proportional to 213,111 and 462,105

Step by Step Solution

1. Step 1: Write the proportion equation
   213,111 : 462,105 = 462,105 : x
2. Step 2: Convert to fraction form
   213,111/462,105 = 462,105/x
3. Step 3: Cross multiply
   213,111x = 462,105 × 462,105
4. Step 4: Simplify right side
   213,111x = 213,541,031,025
5. Step 5: Solve for x
   x = 213,541,031,025/213,111
6. Step 6: Final answer
   x = 1,002,017.87