Finding the Third Proportional to 55,296 and 115,200

Step by Step Solution

1. Step 1: Write the proportion equation
   55,296 : 115,200 = 115,200 : x
2. Step 2: Convert to fraction form
   55,296/115,200 = 115,200/x
3. Step 3: Cross multiply
   55,296x = 115,200 × 115,200
4. Step 4: Simplify right side
   55,296x = 13,271,040,000
5. Step 5: Solve for x
   x = 13,271,040,000/55,296
6. Step 6: Final answer
   x = 240,000