Finding the Third Proportional to 59,796 and 126,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,796 : 126,880.50 = 126,880.50 : x
2. Step 2: Convert to fraction form
   59,796/126,880.50 = 126,880.50/x
3. Step 3: Cross multiply
   59,796x = 126,880.50 × 126,880.50
4. Step 4: Simplify right side
   59,796x = 16,098,661,280.25
5. Step 5: Solve for x
   x = 16,098,661,280.25/59,796
6. Step 6: Final answer
   x = 269,226.39