Finding the Third Proportional to 196,788 and 422,243

Step by Step Solution

1. Step 1: Write the proportion equation
   196,788 : 422,243 = 422,243 : x
2. Step 2: Convert to fraction form
   196,788/422,243 = 422,243/x
3. Step 3: Cross multiply
   196,788x = 422,243 × 422,243
4. Step 4: Simplify right side
   196,788x = 178,289,151,049
5. Step 5: Solve for x
   x = 178,289,151,049/196,788
6. Step 6: Final answer
   x = 905,996.05