Finding the Third Proportional to 210,636 and 463,968

Step by Step Solution

1. Step 1: Write the proportion equation
   210,636 : 463,968 = 463,968 : x
2. Step 2: Convert to fraction form
   210,636/463,968 = 463,968/x
3. Step 3: Cross multiply
   210,636x = 463,968 × 463,968
4. Step 4: Simplify right side
   210,636x = 215,266,305,024
5. Step 5: Solve for x
   x = 215,266,305,024/210,636
6. Step 6: Final answer
   x = 1,021,982.50