Finding the Third Proportional to 127,820 and 278,968

Step by Step Solution

1. Step 1: Write the proportion equation
   127,820 : 278,968 = 278,968 : x
2. Step 2: Convert to fraction form
   127,820/278,968 = 278,968/x
3. Step 3: Cross multiply
   127,820x = 278,968 × 278,968
4. Step 4: Simplify right side
   127,820x = 77,823,145,024
5. Step 5: Solve for x
   x = 77,823,145,024/127,820
6. Step 6: Final answer
   x = 608,849.52