Finding the Third Proportional to 105,767 and 238,167

Step by Step Solution

1. Step 1: Write the proportion equation
   105,767 : 238,167 = 238,167 : x
2. Step 2: Convert to fraction form
   105,767/238,167 = 238,167/x
3. Step 3: Cross multiply
   105,767x = 238,167 × 238,167
4. Step 4: Simplify right side
   105,767x = 56,723,519,889
5. Step 5: Solve for x
   x = 56,723,519,889/105,767
6. Step 6: Final answer
   x = 536,306.41