Finding the Third Proportional to 825,894 and 1,828,665

Step by Step Solution

1. Step 1: Write the proportion equation
   825,894 : 1,828,665 = 1,828,665 : x
2. Step 2: Convert to fraction form
   825,894/1,828,665 = 1,828,665/x
3. Step 3: Cross multiply
   825,894x = 1,828,665 × 1,828,665
4. Step 4: Simplify right side
   825,894x = 3,344,015,682,225
5. Step 5: Solve for x
   x = 3,344,015,682,225/825,894
6. Step 6: Final answer
   x = 4,048,964.74