Finding the Third Proportional to 50,090 and 105,769

Step by Step Solution

1. Step 1: Write the proportion equation
   50,090 : 105,769 = 105,769 : x
2. Step 2: Convert to fraction form
   50,090/105,769 = 105,769/x
3. Step 3: Cross multiply
   50,090x = 105,769 × 105,769
4. Step 4: Simplify right side
   50,090x = 11,187,081,361
5. Step 5: Solve for x
   x = 11,187,081,361/50,090
6. Step 6: Final answer
   x = 223,339.62