Finding the Third Proportional to 1,175,746 and 1,759,049

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175,746 : 1,759,049 = 1,759,049 : x
2. Step 2: Convert to fraction form
   1,175,746/1,759,049 = 1,759,049/x
3. Step 3: Cross multiply
   1,175,746x = 1,759,049 × 1,759,049
4. Step 4: Simplify right side
   1,175,746x = 3,094,253,384,401
5. Step 5: Solve for x
   x = 3,094,253,384,401/1,175,746
6. Step 6: Final answer
   x = 2,631,736.26