Finding the Third Proportional to 58,512 and 114,105

Step by Step Solution

1. Step 1: Write the proportion equation
   58,512 : 114,105 = 114,105 : x
2. Step 2: Convert to fraction form
   58,512/114,105 = 114,105/x
3. Step 3: Cross multiply
   58,512x = 114,105 × 114,105
4. Step 4: Simplify right side
   58,512x = 13,019,951,025
5. Step 5: Solve for x
   x = 13,019,951,025/58,512
6. Step 6: Final answer
   x = 222,517.62