Finding the Third Proportional to 51,710 and 111,672

Step by Step Solution

1. Step 1: Write the proportion equation
   51,710 : 111,672 = 111,672 : x
2. Step 2: Convert to fraction form
   51,710/111,672 = 111,672/x
3. Step 3: Cross multiply
   51,710x = 111,672 × 111,672
4. Step 4: Simplify right side
   51,710x = 12,470,635,584
5. Step 5: Solve for x
   x = 12,470,635,584/51,710
6. Step 6: Final answer
   x = 241,164.87