Finding the Third Proportional to 262,768 and 556,904

Step by Step Solution

1. Step 1: Write the proportion equation
   262,768 : 556,904 = 556,904 : x
2. Step 2: Convert to fraction form
   262,768/556,904 = 556,904/x
3. Step 3: Cross multiply
   262,768x = 556,904 × 556,904
4. Step 4: Simplify right side
   262,768x = 310,142,065,216
5. Step 5: Solve for x
   x = 310,142,065,216/262,768
6. Step 6: Final answer
   x = 1,180,288.56