Finding the Third Proportional to 52,176 and 111,738

Step by Step Solution

1. Step 1: Write the proportion equation
   52,176 : 111,738 = 111,738 : x
2. Step 2: Convert to fraction form
   52,176/111,738 = 111,738/x
3. Step 3: Cross multiply
   52,176x = 111,738 × 111,738
4. Step 4: Simplify right side
   52,176x = 12,485,380,644
5. Step 5: Solve for x
   x = 12,485,380,644/52,176
6. Step 6: Final answer
   x = 239,293.56