Finding the Third Proportional to 159,492 and 253,830

Step by Step Solution

1. Step 1: Write the proportion equation
   159,492 : 253,830 = 253,830 : x
2. Step 2: Convert to fraction form
   159,492/253,830 = 253,830/x
3. Step 3: Cross multiply
   159,492x = 253,830 × 253,830
4. Step 4: Simplify right side
   159,492x = 64,429,668,900
5. Step 5: Solve for x
   x = 64,429,668,900/159,492
6. Step 6: Final answer
   x = 403,968.03