Finding the Third Proportional to 82,227 and 123,009

Step by Step Solution

1. Step 1: Write the proportion equation
   82,227 : 123,009 = 123,009 : x
2. Step 2: Convert to fraction form
   82,227/123,009 = 123,009/x
3. Step 3: Cross multiply
   82,227x = 123,009 × 123,009
4. Step 4: Simplify right side
   82,227x = 15,131,214,081
5. Step 5: Solve for x
   x = 15,131,214,081/82,227
6. Step 6: Final answer
   x = 184,017.59