Finding the Third Proportional to 825,570 and 1,686,126

Step by Step Solution

1. Step 1: Write the proportion equation
   825,570 : 1,686,126 = 1,686,126 : x
2. Step 2: Convert to fraction form
   825,570/1,686,126 = 1,686,126/x
3. Step 3: Cross multiply
   825,570x = 1,686,126 × 1,686,126
4. Step 4: Simplify right side
   825,570x = 2,843,020,887,876
5. Step 5: Solve for x
   x = 2,843,020,887,876/825,570
6. Step 6: Final answer
   x = 3,443,706.64