Finding the Third Proportional to 89,488 and 188,184

Step by Step Solution

1. Step 1: Write the proportion equation
   89,488 : 188,184 = 188,184 : x
2. Step 2: Convert to fraction form
   89,488/188,184 = 188,184/x
3. Step 3: Cross multiply
   89,488x = 188,184 × 188,184
4. Step 4: Simplify right side
   89,488x = 35,413,217,856
5. Step 5: Solve for x
   x = 35,413,217,856/89,488
6. Step 6: Final answer
   x = 395,731.47