Finding the Third Proportional to 50,406 and 105,672

Step by Step Solution

1. Step 1: Write the proportion equation
   50,406 : 105,672 = 105,672 : x
2. Step 2: Convert to fraction form
   50,406/105,672 = 105,672/x
3. Step 3: Cross multiply
   50,406x = 105,672 × 105,672
4. Step 4: Simplify right side
   50,406x = 11,166,571,584
5. Step 5: Solve for x
   x = 11,166,571,584/50,406
6. Step 6: Final answer
   x = 221,532.59