Finding the Third Proportional to 89,631 and 188,442

Step by Step Solution

1. Step 1: Write the proportion equation
   89,631 : 188,442 = 188,442 : x
2. Step 2: Convert to fraction form
   89,631/188,442 = 188,442/x
3. Step 3: Cross multiply
   89,631x = 188,442 × 188,442
4. Step 4: Simplify right side
   89,631x = 35,510,387,364
5. Step 5: Solve for x
   x = 35,510,387,364/89,631
6. Step 6: Final answer
   x = 396,184.21