Finding the Third Proportional to 55,765 and 116,983

Step by Step Solution

1. Step 1: Write the proportion equation
   55,765 : 116,983 = 116,983 : x
2. Step 2: Convert to fraction form
   55,765/116,983 = 116,983/x
3. Step 3: Cross multiply
   55,765x = 116,983 × 116,983
4. Step 4: Simplify right side
   55,765x = 13,685,022,289
5. Step 5: Solve for x
   x = 13,685,022,289/55,765
6. Step 6: Final answer
   x = 245,405.22