Finding the Third Proportional to 211,860 and 463,644

Step by Step Solution

1. Step 1: Write the proportion equation
   211,860 : 463,644 = 463,644 : x
2. Step 2: Convert to fraction form
   211,860/463,644 = 463,644/x
3. Step 3: Cross multiply
   211,860x = 463,644 × 463,644
4. Step 4: Simplify right side
   211,860x = 214,965,758,736
5. Step 5: Solve for x
   x = 214,965,758,736/211,860
6. Step 6: Final answer
   x = 1,014,659.49