Finding the Third Proportional to 213,408 and 466,176

Step by Step Solution

1. Step 1: Write the proportion equation
   213,408 : 466,176 = 466,176 : x
2. Step 2: Convert to fraction form
   213,408/466,176 = 466,176/x
3. Step 3: Cross multiply
   213,408x = 466,176 × 466,176
4. Step 4: Simplify right side
   213,408x = 217,320,062,976
5. Step 5: Solve for x
   x = 217,320,062,976/213,408
6. Step 6: Final answer
   x = 1,018,331.38