Finding the Third Proportional to 103,625 and 204,824

Step by Step Solution

1. Step 1: Write the proportion equation
   103,625 : 204,824 = 204,824 : x
2. Step 2: Convert to fraction form
   103,625/204,824 = 204,824/x
3. Step 3: Cross multiply
   103,625x = 204,824 × 204,824
4. Step 4: Simplify right side
   103,625x = 41,952,870,976
5. Step 5: Solve for x
   x = 41,952,870,976/103,625
6. Step 6: Final answer
   x = 404,852.80