Finding the Third Proportional to 585,180 and 1,257,656

Step by Step Solution

1. Step 1: Write the proportion equation
   585,180 : 1,257,656 = 1,257,656 : x
2. Step 2: Convert to fraction form
   585,180/1,257,656 = 1,257,656/x
3. Step 3: Cross multiply
   585,180x = 1,257,656 × 1,257,656
4. Step 4: Simplify right side
   585,180x = 1,581,698,614,336
5. Step 5: Solve for x
   x = 1,581,698,614,336/585,180
6. Step 6: Final answer
   x = 2,702,926.65