Finding the Third Proportional to 210,824 and 460,968

Step by Step Solution

1. Step 1: Write the proportion equation
   210,824 : 460,968 = 460,968 : x
2. Step 2: Convert to fraction form
   210,824/460,968 = 460,968/x
3. Step 3: Cross multiply
   210,824x = 460,968 × 460,968
4. Step 4: Simplify right side
   210,824x = 212,491,497,024
5. Step 5: Solve for x
   x = 212,491,497,024/210,824
6. Step 6: Final answer
   x = 1,007,909.43