Finding the Third Proportional to 51,800 and 111,152

Step by Step Solution

1. Step 1: Write the proportion equation
   51,800 : 111,152 = 111,152 : x
2. Step 2: Convert to fraction form
   51,800/111,152 = 111,152/x
3. Step 3: Cross multiply
   51,800x = 111,152 × 111,152
4. Step 4: Simplify right side
   51,800x = 12,354,767,104
5. Step 5: Solve for x
   x = 12,354,767,104/51,800
6. Step 6: Final answer
   x = 238,509.02