Finding the Third Proportional to 213,056 and 466,198

Step by Step Solution

1. Step 1: Write the proportion equation
   213,056 : 466,198 = 466,198 : x
2. Step 2: Convert to fraction form
   213,056/466,198 = 466,198/x
3. Step 3: Cross multiply
   213,056x = 466,198 × 466,198
4. Step 4: Simplify right side
   213,056x = 217,340,575,204
5. Step 5: Solve for x
   x = 217,340,575,204/213,056
6. Step 6: Final answer
   x = 1,020,110.09