Finding the Third Proportional to 100,544 and 221,012

Step by Step Solution

1. Step 1: Write the proportion equation
   100,544 : 221,012 = 221,012 : x
2. Step 2: Convert to fraction form
   100,544/221,012 = 221,012/x
3. Step 3: Cross multiply
   100,544x = 221,012 × 221,012
4. Step 4: Simplify right side
   100,544x = 48,846,304,144
5. Step 5: Solve for x
   x = 48,846,304,144/100,544
6. Step 6: Final answer
   x = 485,820.18