Finding the Third Proportional to 768,414 and 1,686,300

Step by Step Solution

1. Step 1: Write the proportion equation
   768,414 : 1,686,300 = 1,686,300 : x
2. Step 2: Convert to fraction form
   768,414/1,686,300 = 1,686,300/x
3. Step 3: Cross multiply
   768,414x = 1,686,300 × 1,686,300
4. Step 4: Simplify right side
   768,414x = 2,843,607,690,000
5. Step 5: Solve for x
   x = 2,843,607,690,000/768,414
6. Step 6: Final answer
   x = 3,700,619.31