Finding the Third Proportional to 205,082 and 321,064

Step by Step Solution

1. Step 1: Write the proportion equation
   205,082 : 321,064 = 321,064 : x
2. Step 2: Convert to fraction form
   205,082/321,064 = 321,064/x
3. Step 3: Cross multiply
   205,082x = 321,064 × 321,064
4. Step 4: Simplify right side
   205,082x = 103,082,092,096
5. Step 5: Solve for x
   x = 103,082,092,096/205,082
6. Step 6: Final answer
   x = 502,638.42