Finding the Third Proportional to 778,536 and 1,677,114

Step by Step Solution

1. Step 1: Write the proportion equation
   778,536 : 1,677,114 = 1,677,114 : x
2. Step 2: Convert to fraction form
   778,536/1,677,114 = 1,677,114/x
3. Step 3: Cross multiply
   778,536x = 1,677,114 × 1,677,114
4. Step 4: Simplify right side
   778,536x = 2,812,711,368,996
5. Step 5: Solve for x
   x = 2,812,711,368,996/778,536
6. Step 6: Final answer
   x = 3,612,821.20