Finding the Third Proportional to 71,768 and 146,452

Step by Step Solution

1. Step 1: Write the proportion equation
   71,768 : 146,452 = 146,452 : x
2. Step 2: Convert to fraction form
   71,768/146,452 = 146,452/x
3. Step 3: Cross multiply
   71,768x = 146,452 × 146,452
4. Step 4: Simplify right side
   71,768x = 21,448,188,304
5. Step 5: Solve for x
   x = 21,448,188,304/71,768
6. Step 6: Final answer
   x = 298,854.48