Finding the Third Proportional to 96,492 and 146,666

Step by Step Solution

1. Step 1: Write the proportion equation
   96,492 : 146,666 = 146,666 : x
2. Step 2: Convert to fraction form
   96,492/146,666 = 146,666/x
3. Step 3: Cross multiply
   96,492x = 146,666 × 146,666
4. Step 4: Simplify right side
   96,492x = 21,510,915,556
5. Step 5: Solve for x
   x = 21,510,915,556/96,492
6. Step 6: Final answer
   x = 222,929.52