Finding the Third Proportional to 90,180 and 196,168

Step by Step Solution

1. Step 1: Write the proportion equation
   90,180 : 196,168 = 196,168 : x
2. Step 2: Convert to fraction form
   90,180/196,168 = 196,168/x
3. Step 3: Cross multiply
   90,180x = 196,168 × 196,168
4. Step 4: Simplify right side
   90,180x = 38,481,884,224
5. Step 5: Solve for x
   x = 38,481,884,224/90,180
6. Step 6: Final answer
   x = 426,723.05