Finding the Third Proportional to 55,040 and 120,384

Step by Step Solution

1. Step 1: Write the proportion equation
   55,040 : 120,384 = 120,384 : x
2. Step 2: Convert to fraction form
   55,040/120,384 = 120,384/x
3. Step 3: Cross multiply
   55,040x = 120,384 × 120,384
4. Step 4: Simplify right side
   55,040x = 14,492,307,456
5. Step 5: Solve for x
   x = 14,492,307,456/55,040
6. Step 6: Final answer
   x = 263,305.00