Finding the Third Proportional to 55,296 and 113,184

Step by Step Solution

1. Step 1: Write the proportion equation
   55,296 : 113,184 = 113,184 : x
2. Step 2: Convert to fraction form
   55,296/113,184 = 113,184/x
3. Step 3: Cross multiply
   55,296x = 113,184 × 113,184
4. Step 4: Simplify right side
   55,296x = 12,810,617,856
5. Step 5: Solve for x
   x = 12,810,617,856/55,296
6. Step 6: Final answer
   x = 231,673.50