Finding the Third Proportional to 213,422 and 466,204

Step by Step Solution

1. Step 1: Write the proportion equation
   213,422 : 466,204 = 466,204 : x
2. Step 2: Convert to fraction form
   213,422/466,204 = 466,204/x
3. Step 3: Cross multiply
   213,422x = 466,204 × 466,204
4. Step 4: Simplify right side
   213,422x = 217,346,169,616
5. Step 5: Solve for x
   x = 217,346,169,616/213,422
6. Step 6: Final answer
   x = 1,018,386.90