Finding the Third Proportional to 337,996 and 714,008

Step by Step Solution

1. Step 1: Write the proportion equation
   337,996 : 714,008 = 714,008 : x
2. Step 2: Convert to fraction form
   337,996/714,008 = 714,008/x
3. Step 3: Cross multiply
   337,996x = 714,008 × 714,008
4. Step 4: Simplify right side
   337,996x = 509,807,424,064
5. Step 5: Solve for x
   x = 509,807,424,064/337,996
6. Step 6: Final answer
   x = 1,508,323.84