Finding the Third Proportional to 213,142 and 466,892

Step by Step Solution

1. Step 1: Write the proportion equation
   213,142 : 466,892 = 466,892 : x
2. Step 2: Convert to fraction form
   213,142/466,892 = 466,892/x
3. Step 3: Cross multiply
   213,142x = 466,892 × 466,892
4. Step 4: Simplify right side
   213,142x = 217,988,139,664
5. Step 5: Solve for x
   x = 217,988,139,664/213,142
6. Step 6: Final answer
   x = 1,022,736.67