Finding the Third Proportional to 50,650 and 117,259

Step by Step Solution

1. Step 1: Write the proportion equation
   50,650 : 117,259 = 117,259 : x
2. Step 2: Convert to fraction form
   50,650/117,259 = 117,259/x
3. Step 3: Cross multiply
   50,650x = 117,259 × 117,259
4. Step 4: Simplify right side
   50,650x = 13,749,673,081
5. Step 5: Solve for x
   x = 13,749,673,081/50,650
6. Step 6: Final answer
   x = 271,464.42