Finding the Third Proportional to 213,204 and 463,968

Step by Step Solution

1. Step 1: Write the proportion equation
   213,204 : 463,968 = 463,968 : x
2. Step 2: Convert to fraction form
   213,204/463,968 = 463,968/x
3. Step 3: Cross multiply
   213,204x = 463,968 × 463,968
4. Step 4: Simplify right side
   213,204x = 215,266,305,024
5. Step 5: Solve for x
   x = 215,266,305,024/213,204
6. Step 6: Final answer
   x = 1,009,672.92