Finding the Third Proportional to 786,096 and 1,684,328

Step by Step Solution

1. Step 1: Write the proportion equation
   786,096 : 1,684,328 = 1,684,328 : x
2. Step 2: Convert to fraction form
   786,096/1,684,328 = 1,684,328/x
3. Step 3: Cross multiply
   786,096x = 1,684,328 × 1,684,328
4. Step 4: Simplify right side
   786,096x = 2,836,960,811,584
5. Step 5: Solve for x
   x = 2,836,960,811,584/786,096
6. Step 6: Final answer
   x = 3,608,924.12