Finding the Third Proportional to 101,067 and 214,456

Step by Step Solution

1. Step 1: Write the proportion equation
   101,067 : 214,456 = 214,456 : x
2. Step 2: Convert to fraction form
   101,067/214,456 = 214,456/x
3. Step 3: Cross multiply
   101,067x = 214,456 × 214,456
4. Step 4: Simplify right side
   101,067x = 45,991,375,936
5. Step 5: Solve for x
   x = 45,991,375,936/101,067
6. Step 6: Final answer
   x = 455,058.29