Finding the Third Proportional to 50,442 and 80,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,442 : 80,275.50 = 80,275.50 : x
2. Step 2: Convert to fraction form
   50,442/80,275.50 = 80,275.50/x
3. Step 3: Cross multiply
   50,442x = 80,275.50 × 80,275.50
4. Step 4: Simplify right side
   50,442x = 6,444,155,900.25
5. Step 5: Solve for x
   x = 6,444,155,900.25/50,442
6. Step 6: Final answer
   x = 127,753.77