Finding the Third Proportional to 89,552 and 188,296

Step by Step Solution

1. Step 1: Write the proportion equation
   89,552 : 188,296 = 188,296 : x
2. Step 2: Convert to fraction form
   89,552/188,296 = 188,296/x
3. Step 3: Cross multiply
   89,552x = 188,296 × 188,296
4. Step 4: Simplify right side
   89,552x = 35,455,383,616
5. Step 5: Solve for x
   x = 35,455,383,616/89,552
6. Step 6: Final answer
   x = 395,919.51