Finding the Third Proportional to 225,865 and 491,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,865 : 491,094.50 = 491,094.50 : x
2. Step 2: Convert to fraction form
   225,865/491,094.50 = 491,094.50/x
3. Step 3: Cross multiply
   225,865x = 491,094.50 × 491,094.50
4. Step 4: Simplify right side
   225,865x = 241,173,807,930.25
5. Step 5: Solve for x
   x = 241,173,807,930.25/225,865
6. Step 6: Final answer
   x = 1,067,778.58