Finding the Third Proportional to 123,470 and 184,474

Step by Step Solution

1. Step 1: Write the proportion equation
   123,470 : 184,474 = 184,474 : x
2. Step 2: Convert to fraction form
   123,470/184,474 = 184,474/x
3. Step 3: Cross multiply
   123,470x = 184,474 × 184,474
4. Step 4: Simplify right side
   123,470x = 34,030,656,676
5. Step 5: Solve for x
   x = 34,030,656,676/123,470
6. Step 6: Final answer
   x = 275,618.83