Finding the Third Proportional to 211,456 and 288,016

Step by Step Solution

1. Step 1: Write the proportion equation
   211,456 : 288,016 = 288,016 : x
2. Step 2: Convert to fraction form
   211,456/288,016 = 288,016/x
3. Step 3: Cross multiply
   211,456x = 288,016 × 288,016
4. Step 4: Simplify right side
   211,456x = 82,953,216,256
5. Step 5: Solve for x
   x = 82,953,216,256/211,456
6. Step 6: Final answer
   x = 392,295.40