Finding the Third Proportional to 186,744 and 279,456

Step by Step Solution

1. Step 1: Write the proportion equation
   186,744 : 279,456 = 279,456 : x
2. Step 2: Convert to fraction form
   186,744/279,456 = 279,456/x
3. Step 3: Cross multiply
   186,744x = 279,456 × 279,456
4. Step 4: Simplify right side
   186,744x = 78,095,655,936
5. Step 5: Solve for x
   x = 78,095,655,936/186,744
6. Step 6: Final answer
   x = 418,196.33