Finding the Third Proportional to 212,514 and 463,662

Step by Step Solution

1. Step 1: Write the proportion equation
   212,514 : 463,662 = 463,662 : x
2. Step 2: Convert to fraction form
   212,514/463,662 = 463,662/x
3. Step 3: Cross multiply
   212,514x = 463,662 × 463,662
4. Step 4: Simplify right side
   212,514x = 214,982,450,244
5. Step 5: Solve for x
   x = 214,982,450,244/212,514
6. Step 6: Final answer
   x = 1,011,615.47