Finding the Third Proportional to 109,658 and 227,092

Step by Step Solution

1. Step 1: Write the proportion equation
   109,658 : 227,092 = 227,092 : x
2. Step 2: Convert to fraction form
   109,658/227,092 = 227,092/x
3. Step 3: Cross multiply
   109,658x = 227,092 × 227,092
4. Step 4: Simplify right side
   109,658x = 51,570,776,464
5. Step 5: Solve for x
   x = 51,570,776,464/109,658
6. Step 6: Final answer
   x = 470,287.41