Finding the Third Proportional to 89,519 and 188,254

Step by Step Solution

1. Step 1: Write the proportion equation
   89,519 : 188,254 = 188,254 : x
2. Step 2: Convert to fraction form
   89,519/188,254 = 188,254/x
3. Step 3: Cross multiply
   89,519x = 188,254 × 188,254
4. Step 4: Simplify right side
   89,519x = 35,439,568,516
5. Step 5: Solve for x
   x = 35,439,568,516/89,519
6. Step 6: Final answer
   x = 395,888.79