Finding the Third Proportional to 67,344 and 146,514

Step by Step Solution

1. Step 1: Write the proportion equation
   67,344 : 146,514 = 146,514 : x
2. Step 2: Convert to fraction form
   67,344/146,514 = 146,514/x
3. Step 3: Cross multiply
   67,344x = 146,514 × 146,514
4. Step 4: Simplify right side
   67,344x = 21,466,352,196
5. Step 5: Solve for x
   x = 21,466,352,196/67,344
6. Step 6: Final answer
   x = 318,756.71