Finding the Third Proportional to 213,304 and 466,784

Step by Step Solution

1. Step 1: Write the proportion equation
   213,304 : 466,784 = 466,784 : x
2. Step 2: Convert to fraction form
   213,304/466,784 = 466,784/x
3. Step 3: Cross multiply
   213,304x = 466,784 × 466,784
4. Step 4: Simplify right side
   213,304x = 217,887,302,656
5. Step 5: Solve for x
   x = 217,887,302,656/213,304
6. Step 6: Final answer
   x = 1,021,487.19