Finding the Third Proportional to 780,352 and 1,677,096

Step by Step Solution

1. Step 1: Write the proportion equation
   780,352 : 1,677,096 = 1,677,096 : x
2. Step 2: Convert to fraction form
   780,352/1,677,096 = 1,677,096/x
3. Step 3: Cross multiply
   780,352x = 1,677,096 × 1,677,096
4. Step 4: Simplify right side
   780,352x = 2,812,650,993,216
5. Step 5: Solve for x
   x = 2,812,650,993,216/780,352
6. Step 6: Final answer
   x = 3,604,336.24