Finding the Third Proportional to 55,746 and 116,108

Step by Step Solution

1. Step 1: Write the proportion equation
   55,746 : 116,108 = 116,108 : x
2. Step 2: Convert to fraction form
   55,746/116,108 = 116,108/x
3. Step 3: Cross multiply
   55,746x = 116,108 × 116,108
4. Step 4: Simplify right side
   55,746x = 13,481,067,664
5. Step 5: Solve for x
   x = 13,481,067,664/55,746
6. Step 6: Final answer
   x = 241,830.22