Finding the Third Proportional to 73,734 and 113,399

Step by Step Solution

1. Step 1: Write the proportion equation
   73,734 : 113,399 = 113,399 : x
2. Step 2: Convert to fraction form
   73,734/113,399 = 113,399/x
3. Step 3: Cross multiply
   73,734x = 113,399 × 113,399
4. Step 4: Simplify right side
   73,734x = 12,859,333,201
5. Step 5: Solve for x
   x = 12,859,333,201/73,734
6. Step 6: Final answer
   x = 174,401.68