Finding the Third Proportional to 510,976 and 773,536

Step by Step Solution

1. Step 1: Write the proportion equation
   510,976 : 773,536 = 773,536 : x
2. Step 2: Convert to fraction form
   510,976/773,536 = 773,536/x
3. Step 3: Cross multiply
   510,976x = 773,536 × 773,536
4. Step 4: Simplify right side
   510,976x = 598,357,943,296
5. Step 5: Solve for x
   x = 598,357,943,296/510,976
6. Step 6: Final answer
   x = 1,171,009.88