Finding the Third Proportional to 109,536 and 236,560

Step by Step Solution

1. Step 1: Write the proportion equation
   109,536 : 236,560 = 236,560 : x
2. Step 2: Convert to fraction form
   109,536/236,560 = 236,560/x
3. Step 3: Cross multiply
   109,536x = 236,560 × 236,560
4. Step 4: Simplify right side
   109,536x = 55,960,633,600
5. Step 5: Solve for x
   x = 55,960,633,600/109,536
6. Step 6: Final answer
   x = 510,888.05