Finding the Third Proportional to 55,728 and 120,791.25

Step by Step Solution

1. Step 1: Write the proportion equation
   55,728 : 120,791.25 = 120,791.25 : x
2. Step 2: Convert to fraction form
   55,728/120,791.25 = 120,791.25/x
3. Step 3: Cross multiply
   55,728x = 120,791.25 × 120,791.25
4. Step 4: Simplify right side
   55,728x = 14,590,526,076.56
5. Step 5: Solve for x
   x = 14,590,526,076.56/55,728
6. Step 6: Final answer
   x = 261,816.79