Finding the Third Proportional to 127,224 and 186,456

Step by Step Solution

1. Step 1: Write the proportion equation
   127,224 : 186,456 = 186,456 : x
2. Step 2: Convert to fraction form
   127,224/186,456 = 186,456/x
3. Step 3: Cross multiply
   127,224x = 186,456 × 186,456
4. Step 4: Simplify right side
   127,224x = 34,765,839,936
5. Step 5: Solve for x
   x = 34,765,839,936/127,224
6. Step 6: Final answer
   x = 273,264.79