Finding the Third Proportional to 56,084 and 113,816

Step by Step Solution

1. Step 1: Write the proportion equation
   56,084 : 113,816 = 113,816 : x
2. Step 2: Convert to fraction form
   56,084/113,816 = 113,816/x
3. Step 3: Cross multiply
   56,084x = 113,816 × 113,816
4. Step 4: Simplify right side
   56,084x = 12,954,081,856
5. Step 5: Solve for x
   x = 12,954,081,856/56,084
6. Step 6: Final answer
   x = 230,976.43