Finding the Third Proportional to 825,551 and 1,686,094

Step by Step Solution

1. Step 1: Write the proportion equation
   825,551 : 1,686,094 = 1,686,094 : x
2. Step 2: Convert to fraction form
   825,551/1,686,094 = 1,686,094/x
3. Step 3: Cross multiply
   825,551x = 1,686,094 × 1,686,094
4. Step 4: Simplify right side
   825,551x = 2,842,912,976,836
5. Step 5: Solve for x
   x = 2,842,912,976,836/825,551
6. Step 6: Final answer
   x = 3,443,655.18