Finding the Third Proportional to 89,521 and 188,258

Step by Step Solution

1. Step 1: Write the proportion equation
   89,521 : 188,258 = 188,258 : x
2. Step 2: Convert to fraction form
   89,521/188,258 = 188,258/x
3. Step 3: Cross multiply
   89,521x = 188,258 × 188,258
4. Step 4: Simplify right side
   89,521x = 35,441,074,564
5. Step 5: Solve for x
   x = 35,441,074,564/89,521
6. Step 6: Final answer
   x = 395,896.77