Finding the Third Proportional to 123,852 and 182,844

Step by Step Solution

1. Step 1: Write the proportion equation
   123,852 : 182,844 = 182,844 : x
2. Step 2: Convert to fraction form
   123,852/182,844 = 182,844/x
3. Step 3: Cross multiply
   123,852x = 182,844 × 182,844
4. Step 4: Simplify right side
   123,852x = 33,431,928,336
5. Step 5: Solve for x
   x = 33,431,928,336/123,852
6. Step 6: Final answer
   x = 269,934.51