Finding the Third Proportional to 109,008 and 231,229

Step by Step Solution

1. Step 1: Write the proportion equation
   109,008 : 231,229 = 231,229 : x
2. Step 2: Convert to fraction form
   109,008/231,229 = 231,229/x
3. Step 3: Cross multiply
   109,008x = 231,229 × 231,229
4. Step 4: Simplify right side
   109,008x = 53,466,850,441
5. Step 5: Solve for x
   x = 53,466,850,441/109,008
6. Step 6: Final answer
   x = 490,485.56