Finding the Third Proportional to 213,336 and 465,336

Step by Step Solution

1. Step 1: Write the proportion equation
   213,336 : 465,336 = 465,336 : x
2. Step 2: Convert to fraction form
   213,336/465,336 = 465,336/x
3. Step 3: Cross multiply
   213,336x = 465,336 × 465,336
4. Step 4: Simplify right side
   213,336x = 216,537,592,896
5. Step 5: Solve for x
   x = 216,537,592,896/213,336
6. Step 6: Final answer
   x = 1,015,007.28