Finding the Third Proportional to 820,580 and 1,724,096

Step by Step Solution

1. Step 1: Write the proportion equation
   820,580 : 1,724,096 = 1,724,096 : x
2. Step 2: Convert to fraction form
   820,580/1,724,096 = 1,724,096/x
3. Step 3: Cross multiply
   820,580x = 1,724,096 × 1,724,096
4. Step 4: Simplify right side
   820,580x = 2,972,507,017,216
5. Step 5: Solve for x
   x = 2,972,507,017,216/820,580
6. Step 6: Final answer
   x = 3,622,446.34