Finding the Third Proportional to 825,558 and 1,686,102

Step by Step Solution

1. Step 1: Write the proportion equation
   825,558 : 1,686,102 = 1,686,102 : x
2. Step 2: Convert to fraction form
   825,558/1,686,102 = 1,686,102/x
3. Step 3: Cross multiply
   825,558x = 1,686,102 × 1,686,102
4. Step 4: Simplify right side
   825,558x = 2,842,939,954,404
5. Step 5: Solve for x
   x = 2,842,939,954,404/825,558
6. Step 6: Final answer
   x = 3,443,658.66