Finding the Third Proportional to 55,596 and 113,456

Step by Step Solution

1. Step 1: Write the proportion equation
   55,596 : 113,456 = 113,456 : x
2. Step 2: Convert to fraction form
   55,596/113,456 = 113,456/x
3. Step 3: Cross multiply
   55,596x = 113,456 × 113,456
4. Step 4: Simplify right side
   55,596x = 12,872,263,936
5. Step 5: Solve for x
   x = 12,872,263,936/55,596
6. Step 6: Final answer
   x = 231,532.20