Finding the Third Proportional to 233,852 and 342,022

Step by Step Solution

1. Step 1: Write the proportion equation
   233,852 : 342,022 = 342,022 : x
2. Step 2: Convert to fraction form
   233,852/342,022 = 342,022/x
3. Step 3: Cross multiply
   233,852x = 342,022 × 342,022
4. Step 4: Simplify right side
   233,852x = 116,979,048,484
5. Step 5: Solve for x
   x = 116,979,048,484/233,852
6. Step 6: Final answer
   x = 500,226.85