Finding the Third Proportional to 510,944 and 773,484

Step by Step Solution

1. Step 1: Write the proportion equation
   510,944 : 773,484 = 773,484 : x
2. Step 2: Convert to fraction form
   510,944/773,484 = 773,484/x
3. Step 3: Cross multiply
   510,944x = 773,484 × 773,484
4. Step 4: Simplify right side
   510,944x = 598,277,498,256
5. Step 5: Solve for x
   x = 598,277,498,256/510,944
6. Step 6: Final answer
   x = 1,170,925.77