Finding the Third Proportional to 123,022 and 184,533

Step by Step Solution

1. Step 1: Write the proportion equation
   123,022 : 184,533 = 184,533 : x
2. Step 2: Convert to fraction form
   123,022/184,533 = 184,533/x
3. Step 3: Cross multiply
   123,022x = 184,533 × 184,533
4. Step 4: Simplify right side
   123,022x = 34,052,428,089
5. Step 5: Solve for x
   x = 34,052,428,089/123,022
6. Step 6: Final answer
   x = 276,799.50