Finding the Third Proportional to 127,170 and 188,595

Step by Step Solution

1. Step 1: Write the proportion equation
   127,170 : 188,595 = 188,595 : x
2. Step 2: Convert to fraction form
   127,170/188,595 = 188,595/x
3. Step 3: Cross multiply
   127,170x = 188,595 × 188,595
4. Step 4: Simplify right side
   127,170x = 35,568,074,025
5. Step 5: Solve for x
   x = 35,568,074,025/127,170
6. Step 6: Final answer
   x = 279,689.19