Finding the Third Proportional to 59,105.25 and 126,513

Step by Step Solution

1. Step 1: Write the proportion equation
   59,105.25 : 126,513 = 126,513 : x
2. Step 2: Convert to fraction form
   59,105.25/126,513 = 126,513/x
3. Step 3: Cross multiply
   59,105.25x = 126,513 × 126,513
4. Step 4: Simplify right side
   59,105.25x = 16,005,539,169
5. Step 5: Solve for x
   x = 16,005,539,169/59,105.25
6. Step 6: Final answer
   x = 270,797.25