Finding the Third Proportional to 384,544 and 825,968

Step by Step Solution

1. Step 1: Write the proportion equation
   384,544 : 825,968 = 825,968 : x
2. Step 2: Convert to fraction form
   384,544/825,968 = 825,968/x
3. Step 3: Cross multiply
   384,544x = 825,968 × 825,968
4. Step 4: Simplify right side
   384,544x = 682,223,137,024
5. Step 5: Solve for x
   x = 682,223,137,024/384,544
6. Step 6: Final answer
   x = 1,774,109.43