Finding the Third Proportional to 110,338 and 238,166

Step by Step Solution

1. Step 1: Write the proportion equation
   110,338 : 238,166 = 238,166 : x
2. Step 2: Convert to fraction form
   110,338/238,166 = 238,166/x
3. Step 3: Cross multiply
   110,338x = 238,166 × 238,166
4. Step 4: Simplify right side
   110,338x = 56,723,043,556
5. Step 5: Solve for x
   x = 56,723,043,556/110,338
6. Step 6: Final answer
   x = 514,084.39