Finding the Third Proportional to 211,548 and 461,682

Step by Step Solution

1. Step 1: Write the proportion equation
   211,548 : 461,682 = 461,682 : x
2. Step 2: Convert to fraction form
   211,548/461,682 = 461,682/x
3. Step 3: Cross multiply
   211,548x = 461,682 × 461,682
4. Step 4: Simplify right side
   211,548x = 213,150,269,124
5. Step 5: Solve for x
   x = 213,150,269,124/211,548
6. Step 6: Final answer
   x = 1,007,574.02