Finding the Third Proportional to 50,936 and 113,536

Step by Step Solution

1. Step 1: Write the proportion equation
   50,936 : 113,536 = 113,536 : x
2. Step 2: Convert to fraction form
   50,936/113,536 = 113,536/x
3. Step 3: Cross multiply
   50,936x = 113,536 × 113,536
4. Step 4: Simplify right side
   50,936x = 12,890,423,296
5. Step 5: Solve for x
   x = 12,890,423,296/50,936
6. Step 6: Final answer
   x = 253,070.98