Finding the Third Proportional to 786,078 and 1,684,296

Step by Step Solution

1. Step 1: Write the proportion equation
   786,078 : 1,684,296 = 1,684,296 : x
2. Step 2: Convert to fraction form
   786,078/1,684,296 = 1,684,296/x
3. Step 3: Cross multiply
   786,078x = 1,684,296 × 1,684,296
4. Step 4: Simplify right side
   786,078x = 2,836,853,015,616
5. Step 5: Solve for x
   x = 2,836,853,015,616/786,078
6. Step 6: Final answer
   x = 3,608,869.62