Finding the Third Proportional to 384,540 and 825,960

Step by Step Solution

1. Step 1: Write the proportion equation
   384,540 : 825,960 = 825,960 : x
2. Step 2: Convert to fraction form
   384,540/825,960 = 825,960/x
3. Step 3: Cross multiply
   384,540x = 825,960 × 825,960
4. Step 4: Simplify right side
   384,540x = 682,209,921,600
5. Step 5: Solve for x
   x = 682,209,921,600/384,540
6. Step 6: Final answer
   x = 1,774,093.52