Finding the Third Proportional to 825,576 and 1,686,138

Step by Step Solution

1. Step 1: Write the proportion equation
   825,576 : 1,686,138 = 1,686,138 : x
2. Step 2: Convert to fraction form
   825,576/1,686,138 = 1,686,138/x
3. Step 3: Cross multiply
   825,576x = 1,686,138 × 1,686,138
4. Step 4: Simplify right side
   825,576x = 2,843,061,355,044
5. Step 5: Solve for x
   x = 2,843,061,355,044/825,576
6. Step 6: Final answer
   x = 3,443,730.63