Finding the Third Proportional to 829,900 and 1,820,506

Step by Step Solution

1. Step 1: Write the proportion equation
   829,900 : 1,820,506 = 1,820,506 : x
2. Step 2: Convert to fraction form
   829,900/1,820,506 = 1,820,506/x
3. Step 3: Cross multiply
   829,900x = 1,820,506 × 1,820,506
4. Step 4: Simplify right side
   829,900x = 3,314,242,096,036
5. Step 5: Solve for x
   x = 3,314,242,096,036/829,900
6. Step 6: Final answer
   x = 3,993,543.92