Finding the Third Proportional to 89,784 and 190,488

Step by Step Solution

1. Step 1: Write the proportion equation
   89,784 : 190,488 = 190,488 : x
2. Step 2: Convert to fraction form
   89,784/190,488 = 190,488/x
3. Step 3: Cross multiply
   89,784x = 190,488 × 190,488
4. Step 4: Simplify right side
   89,784x = 36,285,678,144
5. Step 5: Solve for x
   x = 36,285,678,144/89,784
6. Step 6: Final answer
   x = 404,144.15