Finding the Third Proportional to 123,217 and 186,469

Step by Step Solution

1. Step 1: Write the proportion equation
   123,217 : 186,469 = 186,469 : x
2. Step 2: Convert to fraction form
   123,217/186,469 = 186,469/x
3. Step 3: Cross multiply
   123,217x = 186,469 × 186,469
4. Step 4: Simplify right side
   123,217x = 34,770,687,961
5. Step 5: Solve for x
   x = 34,770,687,961/123,217
6. Step 6: Final answer
   x = 282,190.67