Finding the Third Proportional to 90,405 and 196,666

Step by Step Solution

1. Step 1: Write the proportion equation
   90,405 : 196,666 = 196,666 : x
2. Step 2: Convert to fraction form
   90,405/196,666 = 196,666/x
3. Step 3: Cross multiply
   90,405x = 196,666 × 196,666
4. Step 4: Simplify right side
   90,405x = 38,677,515,556
5. Step 5: Solve for x
   x = 38,677,515,556/90,405
6. Step 6: Final answer
   x = 427,824.96