Finding the Third Proportional to 213,414 and 466,188

Step by Step Solution

1. Step 1: Write the proportion equation
   213,414 : 466,188 = 466,188 : x
2. Step 2: Convert to fraction form
   213,414/466,188 = 466,188/x
3. Step 3: Cross multiply
   213,414x = 466,188 × 466,188
4. Step 4: Simplify right side
   213,414x = 217,331,251,344
5. Step 5: Solve for x
   x = 217,331,251,344/213,414
6. Step 6: Final answer
   x = 1,018,355.18