Finding the Third Proportional to 123,330 and 185,013

Step by Step Solution

1. Step 1: Write the proportion equation
   123,330 : 185,013 = 185,013 : x
2. Step 2: Convert to fraction form
   123,330/185,013 = 185,013/x
3. Step 3: Cross multiply
   123,330x = 185,013 × 185,013
4. Step 4: Simplify right side
   123,330x = 34,229,810,169
5. Step 5: Solve for x
   x = 34,229,810,169/123,330
6. Step 6: Final answer
   x = 277,546.50