Finding the Third Proportional to 59,002 and 127,843

Step by Step Solution

1. Step 1: Write the proportion equation
   59,002 : 127,843 = 127,843 : x
2. Step 2: Convert to fraction form
   59,002/127,843 = 127,843/x
3. Step 3: Cross multiply
   59,002x = 127,843 × 127,843
4. Step 4: Simplify right side
   59,002x = 16,343,832,649
5. Step 5: Solve for x
   x = 16,343,832,649/59,002
6. Step 6: Final answer
   x = 277,004.72