Finding the Third Proportional to 1,175,256 and 2,638,128

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175,256 : 2,638,128 = 2,638,128 : x
2. Step 2: Convert to fraction form
   1,175,256/2,638,128 = 2,638,128/x
3. Step 3: Cross multiply
   1,175,256x = 2,638,128 × 2,638,128
4. Step 4: Simplify right side
   1,175,256x = 6,959,719,344,384
5. Step 5: Solve for x
   x = 6,959,719,344,384/1,175,256
6. Step 6: Final answer
   x = 5,921,875.19