Finding the Third Proportional to 127,144 and 186,826

Step by Step Solution

1. Step 1: Write the proportion equation
   127,144 : 186,826 = 186,826 : x
2. Step 2: Convert to fraction form
   127,144/186,826 = 186,826/x
3. Step 3: Cross multiply
   127,144x = 186,826 × 186,826
4. Step 4: Simplify right side
   127,144x = 34,903,954,276
5. Step 5: Solve for x
   x = 34,903,954,276/127,144
6. Step 6: Final answer
   x = 274,523.02