Finding the Third Proportional to 89,484 and 188,176

Step by Step Solution

1. Step 1: Write the proportion equation
   89,484 : 188,176 = 188,176 : x
2. Step 2: Convert to fraction form
   89,484/188,176 = 188,176/x
3. Step 3: Cross multiply
   89,484x = 188,176 × 188,176
4. Step 4: Simplify right side
   89,484x = 35,410,206,976
5. Step 5: Solve for x
   x = 35,410,206,976/89,484
6. Step 6: Final answer
   x = 395,715.51