Finding the Third Proportional to 55,108 and 120,404

Step by Step Solution

1. Step 1: Write the proportion equation
   55,108 : 120,404 = 120,404 : x
2. Step 2: Convert to fraction form
   55,108/120,404 = 120,404/x
3. Step 3: Cross multiply
   55,108x = 120,404 × 120,404
4. Step 4: Simplify right side
   55,108x = 14,497,123,216
5. Step 5: Solve for x
   x = 14,497,123,216/55,108
6. Step 6: Final answer
   x = 263,067.49