Finding the Third Proportional to 786,019 and 1,684,097

Step by Step Solution

1. Step 1: Write the proportion equation
   786,019 : 1,684,097 = 1,684,097 : x
2. Step 2: Convert to fraction form
   786,019/1,684,097 = 1,684,097/x
3. Step 3: Cross multiply
   786,019x = 1,684,097 × 1,684,097
4. Step 4: Simplify right side
   786,019x = 2,836,182,705,409
5. Step 5: Solve for x
   x = 2,836,182,705,409/786,019
6. Step 6: Final answer
   x = 3,608,287.72