Finding the Third Proportional to 76,509 and 126,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,509 : 126,436.50 = 126,436.50 : x
2. Step 2: Convert to fraction form
   76,509/126,436.50 = 126,436.50/x
3. Step 3: Cross multiply
   76,509x = 126,436.50 × 126,436.50
4. Step 4: Simplify right side
   76,509x = 15,986,188,532.25
5. Step 5: Solve for x
   x = 15,986,188,532.25/76,509
6. Step 6: Final answer
   x = 208,945.20