Finding the Third Proportional to 50,064 and 105,880

Step by Step Solution

1. Step 1: Write the proportion equation
   50,064 : 105,880 = 105,880 : x
2. Step 2: Convert to fraction form
   50,064/105,880 = 105,880/x
3. Step 3: Cross multiply
   50,064x = 105,880 × 105,880
4. Step 4: Simplify right side
   50,064x = 11,210,574,400
5. Step 5: Solve for x
   x = 11,210,574,400/50,064
6. Step 6: Final answer
   x = 223,924.86