Finding the Third Proportional to 88,344 and 188,595

Step by Step Solution

1. Step 1: Write the proportion equation
   88,344 : 188,595 = 188,595 : x
2. Step 2: Convert to fraction form
   88,344/188,595 = 188,595/x
3. Step 3: Cross multiply
   88,344x = 188,595 × 188,595
4. Step 4: Simplify right side
   88,344x = 35,568,074,025
5. Step 5: Solve for x
   x = 35,568,074,025/88,344
6. Step 6: Final answer
   x = 402,608.82