Finding the Third Proportional to 210,524 and 461,830

Step by Step Solution

1. Step 1: Write the proportion equation
   210,524 : 461,830 = 461,830 : x
2. Step 2: Convert to fraction form
   210,524/461,830 = 461,830/x
3. Step 3: Cross multiply
   210,524x = 461,830 × 461,830
4. Step 4: Simplify right side
   210,524x = 213,286,948,900
5. Step 5: Solve for x
   x = 213,286,948,900/210,524
6. Step 6: Final answer
   x = 1,013,124.15