Finding the Third Proportional to 109,204 and 164,576

Step by Step Solution

1. Step 1: Write the proportion equation
   109,204 : 164,576 = 164,576 : x
2. Step 2: Convert to fraction form
   109,204/164,576 = 164,576/x
3. Step 3: Cross multiply
   109,204x = 164,576 × 164,576
4. Step 4: Simplify right side
   109,204x = 27,085,259,776
5. Step 5: Solve for x
   x = 27,085,259,776/109,204
6. Step 6: Final answer
   x = 248,024.43