Finding the Third Proportional to 59,022 and 127,878

Step by Step Solution

1. Step 1: Write the proportion equation
   59,022 : 127,878 = 127,878 : x
2. Step 2: Convert to fraction form
   59,022/127,878 = 127,878/x
3. Step 3: Cross multiply
   59,022x = 127,878 × 127,878
4. Step 4: Simplify right side
   59,022x = 16,352,782,884
5. Step 5: Solve for x
   x = 16,352,782,884/59,022
6. Step 6: Final answer
   x = 277,062.50