Finding the Third Proportional to 337,994 and 714,004

Step by Step Solution

1. Step 1: Write the proportion equation
   337,994 : 714,004 = 714,004 : x
2. Step 2: Convert to fraction form
   337,994/714,004 = 714,004/x
3. Step 3: Cross multiply
   337,994x = 714,004 × 714,004
4. Step 4: Simplify right side
   337,994x = 509,801,712,016
5. Step 5: Solve for x
   x = 509,801,712,016/337,994
6. Step 6: Final answer
   x = 1,508,315.86