Finding the Third Proportional to 26,196.75 and 56,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,196.75 : 56,578.50 = 56,578.50 : x
2. Step 2: Convert to fraction form
   26,196.75/56,578.50 = 56,578.50/x
3. Step 3: Cross multiply
   26,196.75x = 56,578.50 × 56,578.50
4. Step 4: Simplify right side
   26,196.75x = 3,201,126,662.25
5. Step 5: Solve for x
   x = 3,201,126,662.25/26,196.75
6. Step 6: Final answer
   x = 122,195.56