Finding the Third Proportional to 50,959.50 and 77,208.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,959.50 : 77,208.75 = 77,208.75 : x
2. Step 2: Convert to fraction form
   50,959.50/77,208.75 = 77,208.75/x
3. Step 3: Cross multiply
   50,959.50x = 77,208.75 × 77,208.75
4. Step 4: Simplify right side
   50,959.50x = 5,961,191,076.56
5. Step 5: Solve for x
   x = 5,961,191,076.56/50,959.50
6. Step 6: Final answer
   x = 116,978.99