Finding the Third Proportional to 824,562 and 1,782,378

Step by Step Solution

1. Step 1: Write the proportion equation
   824,562 : 1,782,378 = 1,782,378 : x
2. Step 2: Convert to fraction form
   824,562/1,782,378 = 1,782,378/x
3. Step 3: Cross multiply
   824,562x = 1,782,378 × 1,782,378
4. Step 4: Simplify right side
   824,562x = 3,176,871,334,884
5. Step 5: Solve for x
   x = 3,176,871,334,884/824,562
6. Step 6: Final answer
   x = 3,852,798.62