Finding the Third Proportional to 50,773 and 102,777

Step by Step Solution

1. Step 1: Write the proportion equation
   50,773 : 102,777 = 102,777 : x
2. Step 2: Convert to fraction form
   50,773/102,777 = 102,777/x
3. Step 3: Cross multiply
   50,773x = 102,777 × 102,777
4. Step 4: Simplify right side
   50,773x = 10,563,111,729
5. Step 5: Solve for x
   x = 10,563,111,729/50,773
6. Step 6: Final answer
   x = 208,045.85