Finding the Third Proportional to 633,052 and 1,464,256

Step by Step Solution

1. Step 1: Write the proportion equation
   633,052 : 1,464,256 = 1,464,256 : x
2. Step 2: Convert to fraction form
   633,052/1,464,256 = 1,464,256/x
3. Step 3: Cross multiply
   633,052x = 1,464,256 × 1,464,256
4. Step 4: Simplify right side
   633,052x = 2,144,045,633,536
5. Step 5: Solve for x
   x = 2,144,045,633,536/633,052
6. Step 6: Final answer
   x = 3,386,839.68