Finding the Third Proportional to 105,766 and 238,165

Step by Step Solution

1. Step 1: Write the proportion equation
   105,766 : 238,165 = 238,165 : x
2. Step 2: Convert to fraction form
   105,766/238,165 = 238,165/x
3. Step 3: Cross multiply
   105,766x = 238,165 × 238,165
4. Step 4: Simplify right side
   105,766x = 56,722,567,225
5. Step 5: Solve for x
   x = 56,722,567,225/105,766
6. Step 6: Final answer
   x = 536,302.47