Finding the Third Proportional to 510,830 and 773,355

Step by Step Solution

1. Step 1: Write the proportion equation
   510,830 : 773,355 = 773,355 : x
2. Step 2: Convert to fraction form
   510,830/773,355 = 773,355/x
3. Step 3: Cross multiply
   510,830x = 773,355 × 773,355
4. Step 4: Simplify right side
   510,830x = 598,077,956,025
5. Step 5: Solve for x
   x = 598,077,956,025/510,830
6. Step 6: Final answer
   x = 1,170,796.46