Finding the Third Proportional to 51,155 and 111,164

Step by Step Solution

1. Step 1: Write the proportion equation
   51,155 : 111,164 = 111,164 : x
2. Step 2: Convert to fraction form
   51,155/111,164 = 111,164/x
3. Step 3: Cross multiply
   51,155x = 111,164 × 111,164
4. Step 4: Simplify right side
   51,155x = 12,357,434,896
5. Step 5: Solve for x
   x = 12,357,434,896/51,155
6. Step 6: Final answer
   x = 241,568.47