Finding the Third Proportional to 164,576 and 233,024

Step by Step Solution

1. Step 1: Write the proportion equation
   164,576 : 233,024 = 233,024 : x
2. Step 2: Convert to fraction form
   164,576/233,024 = 233,024/x
3. Step 3: Cross multiply
   164,576x = 233,024 × 233,024
4. Step 4: Simplify right side
   164,576x = 54,300,184,576
5. Step 5: Solve for x
   x = 54,300,184,576/164,576
6. Step 6: Final answer
   x = 329,939.87