Finding the Third Proportional to 50,935 and 113,534

Step by Step Solution

1. Step 1: Write the proportion equation
   50,935 : 113,534 = 113,534 : x
2. Step 2: Convert to fraction form
   50,935/113,534 = 113,534/x
3. Step 3: Cross multiply
   50,935x = 113,534 × 113,534
4. Step 4: Simplify right side
   50,935x = 12,889,969,156
5. Step 5: Solve for x
   x = 12,889,969,156/50,935
6. Step 6: Final answer
   x = 253,067.03