Finding the Third Proportional to 50,926 and 109,653

Step by Step Solution

1. Step 1: Write the proportion equation
   50,926 : 109,653 = 109,653 : x
2. Step 2: Convert to fraction form
   50,926/109,653 = 109,653/x
3. Step 3: Cross multiply
   50,926x = 109,653 × 109,653
4. Step 4: Simplify right side
   50,926x = 12,023,780,409
5. Step 5: Solve for x
   x = 12,023,780,409/50,926
6. Step 6: Final answer
   x = 236,102.98