Finding the Third Proportional to 1,388,729 and 2,164,296

Step by Step Solution

1. Step 1: Write the proportion equation
   1,388,729 : 2,164,296 = 2,164,296 : x
2. Step 2: Convert to fraction form
   1,388,729/2,164,296 = 2,164,296/x
3. Step 3: Cross multiply
   1,388,729x = 2,164,296 × 2,164,296
4. Step 4: Simplify right side
   1,388,729x = 4,684,177,175,616
5. Step 5: Solve for x
   x = 4,684,177,175,616/1,388,729
6. Step 6: Final answer
   x = 3,372,995.87