Finding the Third Proportional to 52,100 and 111,734

Step by Step Solution

1. Step 1: Write the proportion equation
   52,100 : 111,734 = 111,734 : x
2. Step 2: Convert to fraction form
   52,100/111,734 = 111,734/x
3. Step 3: Cross multiply
   52,100x = 111,734 × 111,734
4. Step 4: Simplify right side
   52,100x = 12,484,486,756
5. Step 5: Solve for x
   x = 12,484,486,756/52,100
6. Step 6: Final answer
   x = 239,625.47