Finding the Third Proportional to 213,306 and 466,788

Step by Step Solution

1. Step 1: Write the proportion equation
   213,306 : 466,788 = 466,788 : x
2. Step 2: Convert to fraction form
   213,306/466,788 = 466,788/x
3. Step 3: Cross multiply
   213,306x = 466,788 × 466,788
4. Step 4: Simplify right side
   213,306x = 217,891,036,944
5. Step 5: Solve for x
   x = 217,891,036,944/213,306
6. Step 6: Final answer
   x = 1,021,495.11