Finding the Third Proportional to 127,820 and 278,710

Step by Step Solution

1. Step 1: Write the proportion equation
   127,820 : 278,710 = 278,710 : x
2. Step 2: Convert to fraction form
   127,820/278,710 = 278,710/x
3. Step 3: Cross multiply
   127,820x = 278,710 × 278,710
4. Step 4: Simplify right side
   127,820x = 77,679,264,100
5. Step 5: Solve for x
   x = 77,679,264,100/127,820
6. Step 6: Final answer
   x = 607,723.86