Finding the Third Proportional to 1,464,800 and 2,266,896

Step by Step Solution

1. Step 1: Write the proportion equation
   1,464,800 : 2,266,896 = 2,266,896 : x
2. Step 2: Convert to fraction form
   1,464,800/2,266,896 = 2,266,896/x
3. Step 3: Cross multiply
   1,464,800x = 2,266,896 × 2,266,896
4. Step 4: Simplify right side
   1,464,800x = 5,138,817,474,816
5. Step 5: Solve for x
   x = 5,138,817,474,816/1,464,800
6. Step 6: Final answer
   x = 3,508,204.17