Finding the Third Proportional to 51,806.50 and 80,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,806.50 : 80,238.50 = 80,238.50 : x
2. Step 2: Convert to fraction form
   51,806.50/80,238.50 = 80,238.50/x
3. Step 3: Cross multiply
   51,806.50x = 80,238.50 × 80,238.50
4. Step 4: Simplify right side
   51,806.50x = 6,438,216,882.25
5. Step 5: Solve for x
   x = 6,438,216,882.25/51,806.50
6. Step 6: Final answer
   x = 124,274.31