Finding the Third Proportional to 51,293.50 and 80,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,293.50 : 80,180.50 = 80,180.50 : x
2. Step 2: Convert to fraction form
   51,293.50/80,180.50 = 80,180.50/x
3. Step 3: Cross multiply
   51,293.50x = 80,180.50 × 80,180.50
4. Step 4: Simplify right side
   51,293.50x = 6,428,912,580.25
5. Step 5: Solve for x
   x = 6,428,912,580.25/51,293.50
6. Step 6: Final answer
   x = 125,335.81