Finding the Third Proportional to 87,204 and 188,345

Step by Step Solution

1. Step 1: Write the proportion equation
   87,204 : 188,345 = 188,345 : x
2. Step 2: Convert to fraction form
   87,204/188,345 = 188,345/x
3. Step 3: Cross multiply
   87,204x = 188,345 × 188,345
4. Step 4: Simplify right side
   87,204x = 35,473,839,025
5. Step 5: Solve for x
   x = 35,473,839,025/87,204
6. Step 6: Final answer
   x = 406,791.42