Finding the Third Proportional to 123,532 and 184,744

Step by Step Solution

1. Step 1: Write the proportion equation
   123,532 : 184,744 = 184,744 : x
2. Step 2: Convert to fraction form
   123,532/184,744 = 184,744/x
3. Step 3: Cross multiply
   123,532x = 184,744 × 184,744
4. Step 4: Simplify right side
   123,532x = 34,130,345,536
5. Step 5: Solve for x
   x = 34,130,345,536/123,532
6. Step 6: Final answer
   x = 276,287.48