Finding the Third Proportional to 213,296 and 466,768

Step by Step Solution

1. Step 1: Write the proportion equation
   213,296 : 466,768 = 466,768 : x
2. Step 2: Convert to fraction form
   213,296/466,768 = 466,768/x
3. Step 3: Cross multiply
   213,296x = 466,768 × 466,768
4. Step 4: Simplify right side
   213,296x = 217,872,365,824
5. Step 5: Solve for x
   x = 217,872,365,824/213,296
6. Step 6: Final answer
   x = 1,021,455.47