Finding the Third Proportional to 58,338 and 113,760

Step by Step Solution

1. Step 1: Write the proportion equation
   58,338 : 113,760 = 113,760 : x
2. Step 2: Convert to fraction form
   58,338/113,760 = 113,760/x
3. Step 3: Cross multiply
   58,338x = 113,760 × 113,760
4. Step 4: Simplify right side
   58,338x = 12,941,337,600
5. Step 5: Solve for x
   x = 12,941,337,600/58,338
6. Step 6: Final answer
   x = 221,833.76