Finding the Third Proportional to 364,108 and 774,144

Step by Step Solution

1. Step 1: Write the proportion equation
   364,108 : 774,144 = 774,144 : x
2. Step 2: Convert to fraction form
   364,108/774,144 = 774,144/x
3. Step 3: Cross multiply
   364,108x = 774,144 × 774,144
4. Step 4: Simplify right side
   364,108x = 599,298,932,736
5. Step 5: Solve for x
   x = 599,298,932,736/364,108
6. Step 6: Final answer
   x = 1,645,937.28