Finding the Third Proportional to 230,096 and 492,176

Step by Step Solution

1. Step 1: Write the proportion equation
   230,096 : 492,176 = 492,176 : x
2. Step 2: Convert to fraction form
   230,096/492,176 = 492,176/x
3. Step 3: Cross multiply
   230,096x = 492,176 × 492,176
4. Step 4: Simplify right side
   230,096x = 242,237,214,976
5. Step 5: Solve for x
   x = 242,237,214,976/230,096
6. Step 6: Final answer
   x = 1,052,765.87