Finding the Third Proportional to 50,155 and 76,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,155 : 76,217.50 = 76,217.50 : x
2. Step 2: Convert to fraction form
   50,155/76,217.50 = 76,217.50/x
3. Step 3: Cross multiply
   50,155x = 76,217.50 × 76,217.50
4. Step 4: Simplify right side
   50,155x = 5,809,107,306.25
5. Step 5: Solve for x
   x = 5,809,107,306.25/50,155
6. Step 6: Final answer
   x = 115,823.09