Finding the Third Proportional to 123,399 and 186,009

Step by Step Solution

1. Step 1: Write the proportion equation
   123,399 : 186,009 = 186,009 : x
2. Step 2: Convert to fraction form
   123,399/186,009 = 186,009/x
3. Step 3: Cross multiply
   123,399x = 186,009 × 186,009
4. Step 4: Simplify right side
   123,399x = 34,599,348,081
5. Step 5: Solve for x
   x = 34,599,348,081/123,399
6. Step 6: Final answer
   x = 280,385.97