Finding the Third Proportional to 105,768 and 238,170

Step by Step Solution

1. Step 1: Write the proportion equation
   105,768 : 238,170 = 238,170 : x
2. Step 2: Convert to fraction form
   105,768/238,170 = 238,170/x
3. Step 3: Cross multiply
   105,768x = 238,170 × 238,170
4. Step 4: Simplify right side
   105,768x = 56,724,948,900
5. Step 5: Solve for x
   x = 56,724,948,900/105,768
6. Step 6: Final answer
   x = 536,314.85