Finding the Third Proportional to 403,824 and 633,567.75

Step by Step Solution

1. Step 1: Write the proportion equation
   403,824 : 633,567.75 = 633,567.75 : x
2. Step 2: Convert to fraction form
   403,824/633,567.75 = 633,567.75/x
3. Step 3: Cross multiply
   403,824x = 633,567.75 × 633,567.75
4. Step 4: Simplify right side
   403,824x = 401,408,093,840.06
5. Step 5: Solve for x
   x = 401,408,093,840.06/403,824
6. Step 6: Final answer
   x = 994,017.43