Finding the Third Proportional to 55,872 and 114,204

Step by Step Solution

1. Step 1: Write the proportion equation
   55,872 : 114,204 = 114,204 : x
2. Step 2: Convert to fraction form
   55,872/114,204 = 114,204/x
3. Step 3: Cross multiply
   55,872x = 114,204 × 114,204
4. Step 4: Simplify right side
   55,872x = 13,042,553,616
5. Step 5: Solve for x
   x = 13,042,553,616/55,872
6. Step 6: Final answer
   x = 233,436.31