Finding the Third Proportional to 50,665.50 and 77,766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,665.50 : 77,766.75 = 77,766.75 : x
2. Step 2: Convert to fraction form
   50,665.50/77,766.75 = 77,766.75/x
3. Step 3: Cross multiply
   50,665.50x = 77,766.75 × 77,766.75
4. Step 4: Simplify right side
   50,665.50x = 6,047,667,405.56
5. Step 5: Solve for x
   x = 6,047,667,405.56/50,665.50
6. Step 6: Final answer
   x = 119,364.61