Finding the Third Proportional to 510,884 and 773,400

Step by Step Solution

1. Step 1: Write the proportion equation
   510,884 : 773,400 = 773,400 : x
2. Step 2: Convert to fraction form
   510,884/773,400 = 773,400/x
3. Step 3: Cross multiply
   510,884x = 773,400 × 773,400
4. Step 4: Simplify right side
   510,884x = 598,147,560,000
5. Step 5: Solve for x
   x = 598,147,560,000/510,884
6. Step 6: Final answer
   x = 1,170,808.95