Finding the Third Proportional to 55,648 and 120,732

Step by Step Solution

1. Step 1: Write the proportion equation
   55,648 : 120,732 = 120,732 : x
2. Step 2: Convert to fraction form
   55,648/120,732 = 120,732/x
3. Step 3: Cross multiply
   55,648x = 120,732 × 120,732
4. Step 4: Simplify right side
   55,648x = 14,576,215,824
5. Step 5: Solve for x
   x = 14,576,215,824/55,648
6. Step 6: Final answer
   x = 261,936.02