Finding the Third Proportional to 71,742 and 146,404

Step by Step Solution

1. Step 1: Write the proportion equation
   71,742 : 146,404 = 146,404 : x
2. Step 2: Convert to fraction form
   71,742/146,404 = 146,404/x
3. Step 3: Cross multiply
   71,742x = 146,404 × 146,404
4. Step 4: Simplify right side
   71,742x = 21,434,131,216
5. Step 5: Solve for x
   x = 21,434,131,216/71,742
6. Step 6: Final answer
   x = 298,766.85