Finding the Third Proportional to 109,926 and 235,404

Step by Step Solution

1. Step 1: Write the proportion equation
   109,926 : 235,404 = 235,404 : x
2. Step 2: Convert to fraction form
   109,926/235,404 = 235,404/x
3. Step 3: Cross multiply
   109,926x = 235,404 × 235,404
4. Step 4: Simplify right side
   109,926x = 55,415,043,216
5. Step 5: Solve for x
   x = 55,415,043,216/109,926
6. Step 6: Final answer
   x = 504,112.25