Finding the Third Proportional to 50,886 and 114,282

Step by Step Solution

1. Step 1: Write the proportion equation
   50,886 : 114,282 = 114,282 : x
2. Step 2: Convert to fraction form
   50,886/114,282 = 114,282/x
3. Step 3: Cross multiply
   50,886x = 114,282 × 114,282
4. Step 4: Simplify right side
   50,886x = 13,060,375,524
5. Step 5: Solve for x
   x = 13,060,375,524/50,886
6. Step 6: Final answer
   x = 256,659.50