Finding the Third Proportional to 87,170 and 188,164

Step by Step Solution

1. Step 1: Write the proportion equation
   87,170 : 188,164 = 188,164 : x
2. Step 2: Convert to fraction form
   87,170/188,164 = 188,164/x
3. Step 3: Cross multiply
   87,170x = 188,164 × 188,164
4. Step 4: Simplify right side
   87,170x = 35,405,690,896
5. Step 5: Solve for x
   x = 35,405,690,896/87,170
6. Step 6: Final answer
   x = 406,168.30