Finding the Third Proportional to 149,906 and 321,064

Step by Step Solution

1. Step 1: Write the proportion equation
   149,906 : 321,064 = 321,064 : x
2. Step 2: Convert to fraction form
   149,906/321,064 = 321,064/x
3. Step 3: Cross multiply
   149,906x = 321,064 × 321,064
4. Step 4: Simplify right side
   149,906x = 103,082,092,096
5. Step 5: Solve for x
   x = 103,082,092,096/149,906
6. Step 6: Final answer
   x = 687,644.87