Finding the Third Proportional to 52,074 and 116,244

Step by Step Solution

1. Step 1: Write the proportion equation
   52,074 : 116,244 = 116,244 : x
2. Step 2: Convert to fraction form
   52,074/116,244 = 116,244/x
3. Step 3: Cross multiply
   52,074x = 116,244 × 116,244
4. Step 4: Simplify right side
   52,074x = 13,512,667,536
5. Step 5: Solve for x
   x = 13,512,667,536/52,074
6. Step 6: Final answer
   x = 259,489.72