Finding the Third Proportional to 52,026 and 111,942.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,026 : 111,942.75 = 111,942.75 : x
2. Step 2: Convert to fraction form
   52,026/111,942.75 = 111,942.75/x
3. Step 3: Cross multiply
   52,026x = 111,942.75 × 111,942.75
4. Step 4: Simplify right side
   52,026x = 12,531,179,277.56
5. Step 5: Solve for x
   x = 12,531,179,277.56/52,026
6. Step 6: Final answer
   x = 240,863.78