Finding the Third Proportional to 118,268 and 262,780

Step by Step Solution

1. Step 1: Write the proportion equation
   118,268 : 262,780 = 262,780 : x
2. Step 2: Convert to fraction form
   118,268/262,780 = 262,780/x
3. Step 3: Cross multiply
   118,268x = 262,780 × 262,780
4. Step 4: Simplify right side
   118,268x = 69,053,328,400
5. Step 5: Solve for x
   x = 69,053,328,400/118,268
6. Step 6: Final answer
   x = 583,871.62