Finding the Third Proportional to 59,189 and 127,162

Step by Step Solution

1. Step 1: Write the proportion equation
   59,189 : 127,162 = 127,162 : x
2. Step 2: Convert to fraction form
   59,189/127,162 = 127,162/x
3. Step 3: Cross multiply
   59,189x = 127,162 × 127,162
4. Step 4: Simplify right side
   59,189x = 16,170,174,244
5. Step 5: Solve for x
   x = 16,170,174,244/59,189
6. Step 6: Final answer
   x = 273,195.60