Finding the Third Proportional to 90,406 and 196,668

Step by Step Solution

1. Step 1: Write the proportion equation
   90,406 : 196,668 = 196,668 : x
2. Step 2: Convert to fraction form
   90,406/196,668 = 196,668/x
3. Step 3: Cross multiply
   90,406x = 196,668 × 196,668
4. Step 4: Simplify right side
   90,406x = 38,678,302,224
5. Step 5: Solve for x
   x = 38,678,302,224/90,406
6. Step 6: Final answer
   x = 427,828.93