Finding the Third Proportional to 127,380 and 196,418

Step by Step Solution

1. Step 1: Write the proportion equation
   127,380 : 196,418 = 196,418 : x
2. Step 2: Convert to fraction form
   127,380/196,418 = 196,418/x
3. Step 3: Cross multiply
   127,380x = 196,418 × 196,418
4. Step 4: Simplify right side
   127,380x = 38,580,030,724
5. Step 5: Solve for x
   x = 38,580,030,724/127,380
6. Step 6: Final answer
   x = 302,873.53