Finding the Third Proportional to 50,980 and 77,766

Step by Step Solution

1. Step 1: Write the proportion equation
   50,980 : 77,766 = 77,766 : x
2. Step 2: Convert to fraction form
   50,980/77,766 = 77,766/x
3. Step 3: Cross multiply
   50,980x = 77,766 × 77,766
4. Step 4: Simplify right side
   50,980x = 6,047,550,756
5. Step 5: Solve for x
   x = 6,047,550,756/50,980
6. Step 6: Final answer
   x = 118,625.95