Finding the Third Proportional to 127,384 and 196,424

Step by Step Solution

1. Step 1: Write the proportion equation
   127,384 : 196,424 = 196,424 : x
2. Step 2: Convert to fraction form
   127,384/196,424 = 196,424/x
3. Step 3: Cross multiply
   127,384x = 196,424 × 196,424
4. Step 4: Simplify right side
   127,384x = 38,582,387,776
5. Step 5: Solve for x
   x = 38,582,387,776/127,384
6. Step 6: Final answer
   x = 302,882.53