Finding the Third Proportional to 820,491 and 1,772,202

Step by Step Solution

1. Step 1: Write the proportion equation
   820,491 : 1,772,202 = 1,772,202 : x
2. Step 2: Convert to fraction form
   820,491/1,772,202 = 1,772,202/x
3. Step 3: Cross multiply
   820,491x = 1,772,202 × 1,772,202
4. Step 4: Simplify right side
   820,491x = 3,140,699,928,804
5. Step 5: Solve for x
   x = 3,140,699,928,804/820,491
6. Step 6: Final answer
   x = 3,827,829.83