Finding the Third Proportional to 212,530 and 462,446

Step by Step Solution

1. Step 1: Write the proportion equation
   212,530 : 462,446 = 462,446 : x
2. Step 2: Convert to fraction form
   212,530/462,446 = 462,446/x
3. Step 3: Cross multiply
   212,530x = 462,446 × 462,446
4. Step 4: Simplify right side
   212,530x = 213,856,302,916
5. Step 5: Solve for x
   x = 213,856,302,916/212,530
6. Step 6: Final answer
   x = 1,006,240.54