Finding the Third Proportional to 222,824 and 464,005

Step by Step Solution

1. Step 1: Write the proportion equation
   222,824 : 464,005 = 464,005 : x
2. Step 2: Convert to fraction form
   222,824/464,005 = 464,005/x
3. Step 3: Cross multiply
   222,824x = 464,005 × 464,005
4. Step 4: Simplify right side
   222,824x = 215,300,640,025
5. Step 5: Solve for x
   x = 215,300,640,025/222,824
6. Step 6: Final answer
   x = 966,236.31