Finding the Third Proportional to 26,742 and 57,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,742 : 57,178.50 = 57,178.50 : x
2. Step 2: Convert to fraction form
   26,742/57,178.50 = 57,178.50/x
3. Step 3: Cross multiply
   26,742x = 57,178.50 × 57,178.50
4. Step 4: Simplify right side
   26,742x = 3,269,380,862.25
5. Step 5: Solve for x
   x = 3,269,380,862.25/26,742
6. Step 6: Final answer
   x = 122,256.41