Finding the Third Proportional to 229,658 and 492,538

Step by Step Solution

1. Step 1: Write the proportion equation
   229,658 : 492,538 = 492,538 : x
2. Step 2: Convert to fraction form
   229,658/492,538 = 492,538/x
3. Step 3: Cross multiply
   229,658x = 492,538 × 492,538
4. Step 4: Simplify right side
   229,658x = 242,593,681,444
5. Step 5: Solve for x
   x = 242,593,681,444/229,658
6. Step 6: Final answer
   x = 1,056,325.85