Finding the Third Proportional to 51,938 and 111,074

Step by Step Solution

1. Step 1: Write the proportion equation
   51,938 : 111,074 = 111,074 : x
2. Step 2: Convert to fraction form
   51,938/111,074 = 111,074/x
3. Step 3: Cross multiply
   51,938x = 111,074 × 111,074
4. Step 4: Simplify right side
   51,938x = 12,337,433,476
5. Step 5: Solve for x
   x = 12,337,433,476/51,938
6. Step 6: Final answer
   x = 237,541.56