Finding the Third Proportional to 109,520 and 238,696

Step by Step Solution

1. Step 1: Write the proportion equation
   109,520 : 238,696 = 238,696 : x
2. Step 2: Convert to fraction form
   109,520/238,696 = 238,696/x
3. Step 3: Cross multiply
   109,520x = 238,696 × 238,696
4. Step 4: Simplify right side
   109,520x = 56,975,780,416
5. Step 5: Solve for x
   x = 56,975,780,416/109,520
6. Step 6: Final answer
   x = 520,231.74