Finding the Third Proportional to 51,450 and 105,972

Step by Step Solution

1. Step 1: Write the proportion equation
   51,450 : 105,972 = 105,972 : x
2. Step 2: Convert to fraction form
   51,450/105,972 = 105,972/x
3. Step 3: Cross multiply
   51,450x = 105,972 × 105,972
4. Step 4: Simplify right side
   51,450x = 11,230,064,784
5. Step 5: Solve for x
   x = 11,230,064,784/51,450
6. Step 6: Final answer
   x = 218,271.42