Finding the Third Proportional to 26,188 and 56,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,188 : 56,559.50 = 56,559.50 : x
2. Step 2: Convert to fraction form
   26,188/56,559.50 = 56,559.50/x
3. Step 3: Cross multiply
   26,188x = 56,559.50 × 56,559.50
4. Step 4: Simplify right side
   26,188x = 3,198,977,040.25
5. Step 5: Solve for x
   x = 3,198,977,040.25/26,188
6. Step 6: Final answer
   x = 122,154.31