Finding the Third Proportional to 109,675 and 238,142

Step by Step Solution

1. Step 1: Write the proportion equation
   109,675 : 238,142 = 238,142 : x
2. Step 2: Convert to fraction form
   109,675/238,142 = 238,142/x
3. Step 3: Cross multiply
   109,675x = 238,142 × 238,142
4. Step 4: Simplify right side
   109,675x = 56,711,612,164
5. Step 5: Solve for x
   x = 56,711,612,164/109,675
6. Step 6: Final answer
   x = 517,087.87