Finding the Third Proportional to 51,148 and 105,848

Step by Step Solution

1. Step 1: Write the proportion equation
   51,148 : 105,848 = 105,848 : x
2. Step 2: Convert to fraction form
   51,148/105,848 = 105,848/x
3. Step 3: Cross multiply
   51,148x = 105,848 × 105,848
4. Step 4: Simplify right side
   51,148x = 11,203,799,104
5. Step 5: Solve for x
   x = 11,203,799,104/51,148
6. Step 6: Final answer
   x = 219,046.67