Finding the Third Proportional to 67,338 and 146,466

Step by Step Solution

1. Step 1: Write the proportion equation
   67,338 : 146,466 = 146,466 : x
2. Step 2: Convert to fraction form
   67,338/146,466 = 146,466/x
3. Step 3: Cross multiply
   67,338x = 146,466 × 146,466
4. Step 4: Simplify right side
   67,338x = 21,452,289,156
5. Step 5: Solve for x
   x = 21,452,289,156/67,338
6. Step 6: Final answer
   x = 318,576.27