Finding the Third Proportional to 45,824 and 100,504

Step by Step Solution

1. Step 1: Write the proportion equation
   45,824 : 100,504 = 100,504 : x
2. Step 2: Convert to fraction form
   45,824/100,504 = 100,504/x
3. Step 3: Cross multiply
   45,824x = 100,504 × 100,504
4. Step 4: Simplify right side
   45,824x = 10,101,054,016
5. Step 5: Solve for x
   x = 10,101,054,016/45,824
6. Step 6: Final answer
   x = 220,431.52