Finding the Third Proportional to 90,441 and 196,449

Step by Step Solution

1. Step 1: Write the proportion equation
   90,441 : 196,449 = 196,449 : x
2. Step 2: Convert to fraction form
   90,441/196,449 = 196,449/x
3. Step 3: Cross multiply
   90,441x = 196,449 × 196,449
4. Step 4: Simplify right side
   90,441x = 38,592,209,601
5. Step 5: Solve for x
   x = 38,592,209,601/90,441
6. Step 6: Final answer
   x = 426,711.44