Finding the Third Proportional to 211,782 and 465,036

Step by Step Solution

1. Step 1: Write the proportion equation
   211,782 : 465,036 = 465,036 : x
2. Step 2: Convert to fraction form
   211,782/465,036 = 465,036/x
3. Step 3: Cross multiply
   211,782x = 465,036 × 465,036
4. Step 4: Simplify right side
   211,782x = 216,258,481,296
5. Step 5: Solve for x
   x = 216,258,481,296/211,782
6. Step 6: Final answer
   x = 1,021,137.21