Finding the Third Proportional to 211,540 and 461,666

Step by Step Solution

1. Step 1: Write the proportion equation
   211,540 : 461,666 = 461,666 : x
2. Step 2: Convert to fraction form
   211,540/461,666 = 461,666/x
3. Step 3: Cross multiply
   211,540x = 461,666 × 461,666
4. Step 4: Simplify right side
   211,540x = 213,135,495,556
5. Step 5: Solve for x
   x = 213,135,495,556/211,540
6. Step 6: Final answer
   x = 1,007,542.29