Finding the Third Proportional to 229,446 and 492,096

Step by Step Solution

1. Step 1: Write the proportion equation
   229,446 : 492,096 = 492,096 : x
2. Step 2: Convert to fraction form
   229,446/492,096 = 492,096/x
3. Step 3: Cross multiply
   229,446x = 492,096 × 492,096
4. Step 4: Simplify right side
   229,446x = 242,158,473,216
5. Step 5: Solve for x
   x = 242,158,473,216/229,446
6. Step 6: Final answer
   x = 1,055,405.08