Finding the Third Proportional to 510,716 and 773,184

Step by Step Solution

1. Step 1: Write the proportion equation
   510,716 : 773,184 = 773,184 : x
2. Step 2: Convert to fraction form
   510,716/773,184 = 773,184/x
3. Step 3: Cross multiply
   510,716x = 773,184 × 773,184
4. Step 4: Simplify right side
   510,716x = 597,813,497,856
5. Step 5: Solve for x
   x = 597,813,497,856/510,716
6. Step 6: Final answer
   x = 1,170,539.98