Finding the Third Proportional to 196,746 and 422,166

Step by Step Solution

1. Step 1: Write the proportion equation
   196,746 : 422,166 = 422,166 : x
2. Step 2: Convert to fraction form
   196,746/422,166 = 422,166/x
3. Step 3: Cross multiply
   196,746x = 422,166 × 422,166
4. Step 4: Simplify right side
   196,746x = 178,224,131,556
5. Step 5: Solve for x
   x = 178,224,131,556/196,746
6. Step 6: Final answer
   x = 905,858.98