Finding the Third Proportional to 87,596 and 188,314

Step by Step Solution

1. Step 1: Write the proportion equation
   87,596 : 188,314 = 188,314 : x
2. Step 2: Convert to fraction form
   87,596/188,314 = 188,314/x
3. Step 3: Cross multiply
   87,596x = 188,314 × 188,314
4. Step 4: Simplify right side
   87,596x = 35,462,162,596
5. Step 5: Solve for x
   x = 35,462,162,596/87,596
6. Step 6: Final answer
   x = 404,837.69