Finding the Third Proportional to 829,902 and 1,820,510

Step by Step Solution

1. Step 1: Write the proportion equation
   829,902 : 1,820,510 = 1,820,510 : x
2. Step 2: Convert to fraction form
   829,902/1,820,510 = 1,820,510/x
3. Step 3: Cross multiply
   829,902x = 1,820,510 × 1,820,510
4. Step 4: Simplify right side
   829,902x = 3,314,256,660,100
5. Step 5: Solve for x
   x = 3,314,256,660,100/829,902
6. Step 6: Final answer
   x = 3,993,551.84