Finding the Third Proportional to 110,827 and 229,538

Step by Step Solution

1. Step 1: Write the proportion equation
   110,827 : 229,538 = 229,538 : x
2. Step 2: Convert to fraction form
   110,827/229,538 = 229,538/x
3. Step 3: Cross multiply
   110,827x = 229,538 × 229,538
4. Step 4: Simplify right side
   110,827x = 52,687,693,444
5. Step 5: Solve for x
   x = 52,687,693,444/110,827
6. Step 6: Final answer
   x = 475,404.85