Finding the Third Proportional to 212,084 and 461,488

Step by Step Solution

1. Step 1: Write the proportion equation
   212,084 : 461,488 = 461,488 : x
2. Step 2: Convert to fraction form
   212,084/461,488 = 461,488/x
3. Step 3: Cross multiply
   212,084x = 461,488 × 461,488
4. Step 4: Simplify right side
   212,084x = 212,971,174,144
5. Step 5: Solve for x
   x = 212,971,174,144/212,084
6. Step 6: Final answer
   x = 1,004,183.13