Finding the Third Proportional to 223,838 and 491,780

Step by Step Solution

1. Step 1: Write the proportion equation
   223,838 : 491,780 = 491,780 : x
2. Step 2: Convert to fraction form
   223,838/491,780 = 491,780/x
3. Step 3: Cross multiply
   223,838x = 491,780 × 491,780
4. Step 4: Simplify right side
   223,838x = 241,847,568,400
5. Step 5: Solve for x
   x = 241,847,568,400/223,838
6. Step 6: Final answer
   x = 1,080,458.05