Finding the Third Proportional to 55,189 and 116,952

Step by Step Solution

1. Step 1: Write the proportion equation
   55,189 : 116,952 = 116,952 : x
2. Step 2: Convert to fraction form
   55,189/116,952 = 116,952/x
3. Step 3: Cross multiply
   55,189x = 116,952 × 116,952
4. Step 4: Simplify right side
   55,189x = 13,677,770,304
5. Step 5: Solve for x
   x = 13,677,770,304/55,189
6. Step 6: Final answer
   x = 247,835.08