Finding the Third Proportional to 50,579 and 105,046

Step by Step Solution

1. Step 1: Write the proportion equation
   50,579 : 105,046 = 105,046 : x
2. Step 2: Convert to fraction form
   50,579/105,046 = 105,046/x
3. Step 3: Cross multiply
   50,579x = 105,046 × 105,046
4. Step 4: Simplify right side
   50,579x = 11,034,662,116
5. Step 5: Solve for x
   x = 11,034,662,116/50,579
6. Step 6: Final answer
   x = 218,166.87