Finding the Third Proportional to 110,916 and 238,419

Step by Step Solution

1. Step 1: Write the proportion equation
   110,916 : 238,419 = 238,419 : x
2. Step 2: Convert to fraction form
   110,916/238,419 = 238,419/x
3. Step 3: Cross multiply
   110,916x = 238,419 × 238,419
4. Step 4: Simplify right side
   110,916x = 56,843,619,561
5. Step 5: Solve for x
   x = 56,843,619,561/110,916
6. Step 6: Final answer
   x = 512,492.51