Finding the Third Proportional to 109,184 and 238,736

Step by Step Solution

1. Step 1: Write the proportion equation
   109,184 : 238,736 = 238,736 : x
2. Step 2: Convert to fraction form
   109,184/238,736 = 238,736/x
3. Step 3: Cross multiply
   109,184x = 238,736 × 238,736
4. Step 4: Simplify right side
   109,184x = 56,994,877,696
5. Step 5: Solve for x
   x = 56,994,877,696/109,184
6. Step 6: Final answer
   x = 522,007.60