Finding the Third Proportional to 127,878 and 278,238

Step by Step Solution

1. Step 1: Write the proportion equation
   127,878 : 278,238 = 278,238 : x
2. Step 2: Convert to fraction form
   127,878/278,238 = 278,238/x
3. Step 3: Cross multiply
   127,878x = 278,238 × 278,238
4. Step 4: Simplify right side
   127,878x = 77,416,384,644
5. Step 5: Solve for x
   x = 77,416,384,644/127,878
6. Step 6: Final answer
   x = 605,392.52