Finding the Third Proportional to 780,144 and 1,678,383

Step by Step Solution

1. Step 1: Write the proportion equation
   780,144 : 1,678,383 = 1,678,383 : x
2. Step 2: Convert to fraction form
   780,144/1,678,383 = 1,678,383/x
3. Step 3: Cross multiply
   780,144x = 1,678,383 × 1,678,383
4. Step 4: Simplify right side
   780,144x = 2,816,969,494,689
5. Step 5: Solve for x
   x = 2,816,969,494,689/780,144
6. Step 6: Final answer
   x = 3,610,832.74