Finding the Third Proportional to 127,144.50 and 186,828

Step by Step Solution

1. Step 1: Write the proportion equation
   127,144.50 : 186,828 = 186,828 : x
2. Step 2: Convert to fraction form
   127,144.50/186,828 = 186,828/x
3. Step 3: Cross multiply
   127,144.50x = 186,828 × 186,828
4. Step 4: Simplify right side
   127,144.50x = 34,904,701,584
5. Step 5: Solve for x
   x = 34,904,701,584/127,144.50
6. Step 6: Final answer
   x = 274,527.81