Finding the Third Proportional to 50,824 and 105,120

Step by Step Solution

1. Step 1: Write the proportion equation
   50,824 : 105,120 = 105,120 : x
2. Step 2: Convert to fraction form
   50,824/105,120 = 105,120/x
3. Step 3: Cross multiply
   50,824x = 105,120 × 105,120
4. Step 4: Simplify right side
   50,824x = 11,050,214,400
5. Step 5: Solve for x
   x = 11,050,214,400/50,824
6. Step 6: Final answer
   x = 217,421.19