Finding the Third Proportional to 120,036 and 254,868

Step by Step Solution

1. Step 1: Write the proportion equation
   120,036 : 254,868 = 254,868 : x
2. Step 2: Convert to fraction form
   120,036/254,868 = 254,868/x
3. Step 3: Cross multiply
   120,036x = 254,868 × 254,868
4. Step 4: Simplify right side
   120,036x = 64,957,697,424
5. Step 5: Solve for x
   x = 64,957,697,424/120,036
6. Step 6: Final answer
   x = 541,151.80