Finding the Third Proportional to 50,509.50 and 78,423.75

Step by Step Solution

1. Step 1: Write the proportion equation
   50,509.50 : 78,423.75 = 78,423.75 : x
2. Step 2: Convert to fraction form
   50,509.50/78,423.75 = 78,423.75/x
3. Step 3: Cross multiply
   50,509.50x = 78,423.75 × 78,423.75
4. Step 4: Simplify right side
   50,509.50x = 6,150,284,564.06
5. Step 5: Solve for x
   x = 6,150,284,564.06/50,509.50
6. Step 6: Final answer
   x = 121,764.91