Finding the Third Proportional to 1,166,400 and 2,552,256

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166,400 : 2,552,256 = 2,552,256 : x
2. Step 2: Convert to fraction form
   1,166,400/2,552,256 = 2,552,256/x
3. Step 3: Cross multiply
   1,166,400x = 2,552,256 × 2,552,256
4. Step 4: Simplify right side
   1,166,400x = 6,514,010,689,536
5. Step 5: Solve for x
   x = 6,514,010,689,536/1,166,400
6. Step 6: Final answer
   x = 5,584,714.24