Finding the Third Proportional to 226,824 and 335,062.50

Step by Step Solution

1. Step 1: Write the proportion equation
   226,824 : 335,062.50 = 335,062.50 : x
2. Step 2: Convert to fraction form
   226,824/335,062.50 = 335,062.50/x
3. Step 3: Cross multiply
   226,824x = 335,062.50 × 335,062.50
4. Step 4: Simplify right side
   226,824x = 112,266,878,906.25
5. Step 5: Solve for x
   x = 112,266,878,906.25/226,824
6. Step 6: Final answer
   x = 494,951.50