Finding the Third Proportional to 339,993 and 460,064

Step by Step Solution

1. Step 1: Write the proportion equation
   339,993 : 460,064 = 460,064 : x
2. Step 2: Convert to fraction form
   339,993/460,064 = 460,064/x
3. Step 3: Cross multiply
   339,993x = 460,064 × 460,064
4. Step 4: Simplify right side
   339,993x = 211,658,884,096
5. Step 5: Solve for x
   x = 211,658,884,096/339,993
6. Step 6: Final answer
   x = 622,538.95