Finding the Third Proportional to 149,123 and 225,856

Step by Step Solution

1. Step 1: Write the proportion equation
   149,123 : 225,856 = 225,856 : x
2. Step 2: Convert to fraction form
   149,123/225,856 = 225,856/x
3. Step 3: Cross multiply
   149,123x = 225,856 × 225,856
4. Step 4: Simplify right side
   149,123x = 51,010,932,736
5. Step 5: Solve for x
   x = 51,010,932,736/149,123
6. Step 6: Final answer
   x = 342,072.87