Finding the Third Proportional to 127,744 and 193,384

Step by Step Solution

1. Step 1: Write the proportion equation
   127,744 : 193,384 = 193,384 : x
2. Step 2: Convert to fraction form
   127,744/193,384 = 193,384/x
3. Step 3: Cross multiply
   127,744x = 193,384 × 193,384
4. Step 4: Simplify right side
   127,744x = 37,397,371,456
5. Step 5: Solve for x
   x = 37,397,371,456/127,744
6. Step 6: Final answer
   x = 292,752.47