Finding the Third Proportional to 510,770 and 773,256

Step by Step Solution

1. Step 1: Write the proportion equation
   510,770 : 773,256 = 773,256 : x
2. Step 2: Convert to fraction form
   510,770/773,256 = 773,256/x
3. Step 3: Cross multiply
   510,770x = 773,256 × 773,256
4. Step 4: Simplify right side
   510,770x = 597,924,841,536
5. Step 5: Solve for x
   x = 597,924,841,536/510,770
6. Step 6: Final answer
   x = 1,170,634.22