Finding the Third Proportional to 109,638 and 236,764

Step by Step Solution

1. Step 1: Write the proportion equation
   109,638 : 236,764 = 236,764 : x
2. Step 2: Convert to fraction form
   109,638/236,764 = 236,764/x
3. Step 3: Cross multiply
   109,638x = 236,764 × 236,764
4. Step 4: Simplify right side
   109,638x = 56,057,191,696
5. Step 5: Solve for x
   x = 56,057,191,696/109,638
6. Step 6: Final answer
   x = 511,293.45