Finding the Third Proportional to 769,266 and 1,683,306

Step by Step Solution

1. Step 1: Write the proportion equation
   769,266 : 1,683,306 = 1,683,306 : x
2. Step 2: Convert to fraction form
   769,266/1,683,306 = 1,683,306/x
3. Step 3: Cross multiply
   769,266x = 1,683,306 × 1,683,306
4. Step 4: Simplify right side
   769,266x = 2,833,519,089,636
5. Step 5: Solve for x
   x = 2,833,519,089,636/769,266
6. Step 6: Final answer
   x = 3,683,406.12