Finding the Third Proportional to 90,394 and 196,874

Step by Step Solution

1. Step 1: Write the proportion equation
   90,394 : 196,874 = 196,874 : x
2. Step 2: Convert to fraction form
   90,394/196,874 = 196,874/x
3. Step 3: Cross multiply
   90,394x = 196,874 × 196,874
4. Step 4: Simplify right side
   90,394x = 38,759,371,876
5. Step 5: Solve for x
   x = 38,759,371,876/90,394
6. Step 6: Final answer
   x = 428,782.57