Finding the Third Proportional to 356,968 and 776,144

Step by Step Solution

1. Step 1: Write the proportion equation
   356,968 : 776,144 = 776,144 : x
2. Step 2: Convert to fraction form
   356,968/776,144 = 776,144/x
3. Step 3: Cross multiply
   356,968x = 776,144 × 776,144
4. Step 4: Simplify right side
   356,968x = 602,399,508,736
5. Step 5: Solve for x
   x = 602,399,508,736/356,968
6. Step 6: Final answer
   x = 1,687,544.85