Finding the Third Proportional to 50,980 and 77,550

Step by Step Solution

1. Step 1: Write the proportion equation
   50,980 : 77,550 = 77,550 : x
2. Step 2: Convert to fraction form
   50,980/77,550 = 77,550/x
3. Step 3: Cross multiply
   50,980x = 77,550 × 77,550
4. Step 4: Simplify right side
   50,980x = 6,014,002,500
5. Step 5: Solve for x
   x = 6,014,002,500/50,980
6. Step 6: Final answer
   x = 117,967.88