Finding the Third Proportional to 90,592 and 196,790

Step by Step Solution

1. Step 1: Write the proportion equation
   90,592 : 196,790 = 196,790 : x
2. Step 2: Convert to fraction form
   90,592/196,790 = 196,790/x
3. Step 3: Cross multiply
   90,592x = 196,790 × 196,790
4. Step 4: Simplify right side
   90,592x = 38,726,304,100
5. Step 5: Solve for x
   x = 38,726,304,100/90,592
6. Step 6: Final answer
   x = 427,480.40