Finding the Third Proportional to 50,227.75 and 77,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,227.75 : 77,858.50 = 77,858.50 : x
2. Step 2: Convert to fraction form
   50,227.75/77,858.50 = 77,858.50/x
3. Step 3: Cross multiply
   50,227.75x = 77,858.50 × 77,858.50
4. Step 4: Simplify right side
   50,227.75x = 6,061,946,022.25
5. Step 5: Solve for x
   x = 6,061,946,022.25/50,227.75
6. Step 6: Final answer
   x = 120,689.18