Finding the Third Proportional to 225,906 and 491,156

Step by Step Solution

1. Step 1: Write the proportion equation
   225,906 : 491,156 = 491,156 : x
2. Step 2: Convert to fraction form
   225,906/491,156 = 491,156/x
3. Step 3: Cross multiply
   225,906x = 491,156 × 491,156
4. Step 4: Simplify right side
   225,906x = 241,234,216,336
5. Step 5: Solve for x
   x = 241,234,216,336/225,906
6. Step 6: Final answer
   x = 1,067,852.19