Finding the Third Proportional to 51,178 and 111,638

Step by Step Solution

1. Step 1: Write the proportion equation
   51,178 : 111,638 = 111,638 : x
2. Step 2: Convert to fraction form
   51,178/111,638 = 111,638/x
3. Step 3: Cross multiply
   51,178x = 111,638 × 111,638
4. Step 4: Simplify right side
   51,178x = 12,463,043,044
5. Step 5: Solve for x
   x = 12,463,043,044/51,178
6. Step 6: Final answer
   x = 243,523.45