Finding the Third Proportional to 123,474 and 184,476

Step by Step Solution

1. Step 1: Write the proportion equation
   123,474 : 184,476 = 184,476 : x
2. Step 2: Convert to fraction form
   123,474/184,476 = 184,476/x
3. Step 3: Cross multiply
   123,474x = 184,476 × 184,476
4. Step 4: Simplify right side
   123,474x = 34,031,394,576
5. Step 5: Solve for x
   x = 34,031,394,576/123,474
6. Step 6: Final answer
   x = 275,615.88