Finding the Third Proportional to 126,765 and 265,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   126,765 : 265,738.50 = 265,738.50 : x
2. Step 2: Convert to fraction form
   126,765/265,738.50 = 265,738.50/x
3. Step 3: Cross multiply
   126,765x = 265,738.50 × 265,738.50
4. Step 4: Simplify right side
   126,765x = 70,616,950,382.25
5. Step 5: Solve for x
   x = 70,616,950,382.25/126,765
6. Step 6: Final answer
   x = 557,069.78