Finding the Third Proportional to 109,743 and 236,442

Step by Step Solution

1. Step 1: Write the proportion equation
   109,743 : 236,442 = 236,442 : x
2. Step 2: Convert to fraction form
   109,743/236,442 = 236,442/x
3. Step 3: Cross multiply
   109,743x = 236,442 × 236,442
4. Step 4: Simplify right side
   109,743x = 55,904,819,364
5. Step 5: Solve for x
   x = 55,904,819,364/109,743
6. Step 6: Final answer
   x = 509,415.81