Finding the Third Proportional to 384,369.75 and 825,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   384,369.75 : 825,601.50 = 825,601.50 : x
2. Step 2: Convert to fraction form
   384,369.75/825,601.50 = 825,601.50/x
3. Step 3: Cross multiply
   384,369.75x = 825,601.50 × 825,601.50
4. Step 4: Simplify right side
   384,369.75x = 681,617,836,802.25
5. Step 5: Solve for x
   x = 681,617,836,802.25/384,369.75
6. Step 6: Final answer
   x = 1,773,338.92