Finding the Third Proportional to 225,896 and 491,140

Step by Step Solution

1. Step 1: Write the proportion equation
   225,896 : 491,140 = 491,140 : x
2. Step 2: Convert to fraction form
   225,896/491,140 = 491,140/x
3. Step 3: Cross multiply
   225,896x = 491,140 × 491,140
4. Step 4: Simplify right side
   225,896x = 241,218,499,600
5. Step 5: Solve for x
   x = 241,218,499,600/225,896
6. Step 6: Final answer
   x = 1,067,829.88