Finding the Third Proportional to 494,967 and 765,155

Step by Step Solution

1. Step 1: Write the proportion equation
   494,967 : 765,155 = 765,155 : x
2. Step 2: Convert to fraction form
   494,967/765,155 = 765,155/x
3. Step 3: Cross multiply
   494,967x = 765,155 × 765,155
4. Step 4: Simplify right side
   494,967x = 585,462,174,025
5. Step 5: Solve for x
   x = 585,462,174,025/494,967
6. Step 6: Final answer
   x = 1,182,830.72