Finding the Third Proportional to 54,536 and 114,039

Step by Step Solution

1. Step 1: Write the proportion equation
   54,536 : 114,039 = 114,039 : x
2. Step 2: Convert to fraction form
   54,536/114,039 = 114,039/x
3. Step 3: Cross multiply
   54,536x = 114,039 × 114,039
4. Step 4: Simplify right side
   54,536x = 13,004,893,521
5. Step 5: Solve for x
   x = 13,004,893,521/54,536
6. Step 6: Final answer
   x = 238,464.38