Finding the Third Proportional to 55,514 and 113,084

Step by Step Solution

1. Step 1: Write the proportion equation
   55,514 : 113,084 = 113,084 : x
2. Step 2: Convert to fraction form
   55,514/113,084 = 113,084/x
3. Step 3: Cross multiply
   55,514x = 113,084 × 113,084
4. Step 4: Simplify right side
   55,514x = 12,787,991,056
5. Step 5: Solve for x
   x = 12,787,991,056/55,514
6. Step 6: Final answer
   x = 230,356.15