Finding the Third Proportional to 50,262 and 105,690

Step by Step Solution

1. Step 1: Write the proportion equation
   50,262 : 105,690 = 105,690 : x
2. Step 2: Convert to fraction form
   50,262/105,690 = 105,690/x
3. Step 3: Cross multiply
   50,262x = 105,690 × 105,690
4. Step 4: Simplify right side
   50,262x = 11,170,376,100
5. Step 5: Solve for x
   x = 11,170,376,100/50,262
6. Step 6: Final answer
   x = 222,242.97