Finding the Third Proportional to 510,476 and 713,626

Step by Step Solution

1. Step 1: Write the proportion equation
   510,476 : 713,626 = 713,626 : x
2. Step 2: Convert to fraction form
   510,476/713,626 = 713,626/x
3. Step 3: Cross multiply
   510,476x = 713,626 × 713,626
4. Step 4: Simplify right side
   510,476x = 509,262,067,876
5. Step 5: Solve for x
   x = 509,262,067,876/510,476
6. Step 6: Final answer
   x = 997,621.96