Finding the Third Proportional to 232,456 and 491,024

Step by Step Solution

1. Step 1: Write the proportion equation
   232,456 : 491,024 = 491,024 : x
2. Step 2: Convert to fraction form
   232,456/491,024 = 491,024/x
3. Step 3: Cross multiply
   232,456x = 491,024 × 491,024
4. Step 4: Simplify right side
   232,456x = 241,104,568,576
5. Step 5: Solve for x
   x = 241,104,568,576/232,456
6. Step 6: Final answer
   x = 1,037,205.19