Finding the Third Proportional to 204,111 and 321,820

Step by Step Solution

1. Step 1: Write the proportion equation
   204,111 : 321,820 = 321,820 : x
2. Step 2: Convert to fraction form
   204,111/321,820 = 321,820/x
3. Step 3: Cross multiply
   204,111x = 321,820 × 321,820
4. Step 4: Simplify right side
   204,111x = 103,568,112,400
5. Step 5: Solve for x
   x = 103,568,112,400/204,111
6. Step 6: Final answer
   x = 507,410.73