Finding the Third Proportional to 109,695 and 227,166

Step by Step Solution

1. Step 1: Write the proportion equation
   109,695 : 227,166 = 227,166 : x
2. Step 2: Convert to fraction form
   109,695/227,166 = 227,166/x
3. Step 3: Cross multiply
   109,695x = 227,166 × 227,166
4. Step 4: Simplify right side
   109,695x = 51,604,391,556
5. Step 5: Solve for x
   x = 51,604,391,556/109,695
6. Step 6: Final answer
   x = 470,435.22