Finding the Third Proportional to 50,983 and 105,550

Step by Step Solution

1. Step 1: Write the proportion equation
   50,983 : 105,550 = 105,550 : x
2. Step 2: Convert to fraction form
   50,983/105,550 = 105,550/x
3. Step 3: Cross multiply
   50,983x = 105,550 × 105,550
4. Step 4: Simplify right side
   50,983x = 11,140,802,500
5. Step 5: Solve for x
   x = 11,140,802,500/50,983
6. Step 6: Final answer
   x = 218,519.95