Finding the Third Proportional to 152,419 and 231,668

Step by Step Solution

1. Step 1: Write the proportion equation
   152,419 : 231,668 = 231,668 : x
2. Step 2: Convert to fraction form
   152,419/231,668 = 231,668/x
3. Step 3: Cross multiply
   152,419x = 231,668 × 231,668
4. Step 4: Simplify right side
   152,419x = 53,670,062,224
5. Step 5: Solve for x
   x = 53,670,062,224/152,419
6. Step 6: Final answer
   x = 352,121.86