Finding the Third Proportional to 51,184 and 111,110

Step by Step Solution

1. Step 1: Write the proportion equation
   51,184 : 111,110 = 111,110 : x
2. Step 2: Convert to fraction form
   51,184/111,110 = 111,110/x
3. Step 3: Cross multiply
   51,184x = 111,110 × 111,110
4. Step 4: Simplify right side
   51,184x = 12,345,432,100
5. Step 5: Solve for x
   x = 12,345,432,100/51,184
6. Step 6: Final answer
   x = 241,197.09