Finding the Third Proportional to 500,184 and 714,744

Step by Step Solution

1. Step 1: Write the proportion equation
   500,184 : 714,744 = 714,744 : x
2. Step 2: Convert to fraction form
   500,184/714,744 = 714,744/x
3. Step 3: Cross multiply
   500,184x = 714,744 × 714,744
4. Step 4: Simplify right side
   500,184x = 510,858,985,536
5. Step 5: Solve for x
   x = 510,858,985,536/500,184
6. Step 6: Final answer
   x = 1,021,342.12