Finding the Third Proportional to 1,243,200 and 1,868,256

Step by Step Solution

1. Step 1: Write the proportion equation
   1,243,200 : 1,868,256 = 1,868,256 : x
2. Step 2: Convert to fraction form
   1,243,200/1,868,256 = 1,868,256/x
3. Step 3: Cross multiply
   1,243,200x = 1,868,256 × 1,868,256
4. Step 4: Simplify right side
   1,243,200x = 3,490,380,481,536
5. Step 5: Solve for x
   x = 3,490,380,481,536/1,243,200
6. Step 6: Final answer
   x = 2,807,577.61