Finding the Third Proportional to 585,378 and 1,276,838

Step by Step Solution

1. Step 1: Write the proportion equation
   585,378 : 1,276,838 = 1,276,838 : x
2. Step 2: Convert to fraction form
   585,378/1,276,838 = 1,276,838/x
3. Step 3: Cross multiply
   585,378x = 1,276,838 × 1,276,838
4. Step 4: Simplify right side
   585,378x = 1,630,315,278,244
5. Step 5: Solve for x
   x = 1,630,315,278,244/585,378
6. Step 6: Final answer
   x = 2,785,064.14