Finding the Third Proportional to 58,678 and 126,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,678 : 126,709.50 = 126,709.50 : x
2. Step 2: Convert to fraction form
   58,678/126,709.50 = 126,709.50/x
3. Step 3: Cross multiply
   58,678x = 126,709.50 × 126,709.50
4. Step 4: Simplify right side
   58,678x = 16,055,297,390.25
5. Step 5: Solve for x
   x = 16,055,297,390.25/58,678
6. Step 6: Final answer
   x = 273,616.98