Finding the Third Proportional to 109,676 and 238,144

Step by Step Solution

1. Step 1: Write the proportion equation
   109,676 : 238,144 = 238,144 : x
2. Step 2: Convert to fraction form
   109,676/238,144 = 238,144/x
3. Step 3: Cross multiply
   109,676x = 238,144 × 238,144
4. Step 4: Simplify right side
   109,676x = 56,712,564,736
5. Step 5: Solve for x
   x = 56,712,564,736/109,676
6. Step 6: Final answer
   x = 517,091.84