Finding the Third Proportional to 829,696 and 1,820,096

Step by Step Solution

1. Step 1: Write the proportion equation
   829,696 : 1,820,096 = 1,820,096 : x
2. Step 2: Convert to fraction form
   829,696/1,820,096 = 1,820,096/x
3. Step 3: Cross multiply
   829,696x = 1,820,096 × 1,820,096
4. Step 4: Simplify right side
   829,696x = 3,312,749,449,216
5. Step 5: Solve for x
   x = 3,312,749,449,216/829,696
6. Step 6: Final answer
   x = 3,992,726.79