Finding the Third Proportional to 50,854 and 105,242

Step by Step Solution

1. Step 1: Write the proportion equation
   50,854 : 105,242 = 105,242 : x
2. Step 2: Convert to fraction form
   50,854/105,242 = 105,242/x
3. Step 3: Cross multiply
   50,854x = 105,242 × 105,242
4. Step 4: Simplify right side
   50,854x = 11,075,878,564
5. Step 5: Solve for x
   x = 11,075,878,564/50,854
6. Step 6: Final answer
   x = 217,797.59