Finding the Third Proportional to 73,940 and 113,766

Step by Step Solution

1. Step 1: Write the proportion equation
   73,940 : 113,766 = 113,766 : x
2. Step 2: Convert to fraction form
   73,940/113,766 = 113,766/x
3. Step 3: Cross multiply
   73,940x = 113,766 × 113,766
4. Step 4: Simplify right side
   73,940x = 12,942,702,756
5. Step 5: Solve for x
   x = 12,942,702,756/73,940
6. Step 6: Final answer
   x = 175,043.32