Finding the Third Proportional to 152,608 and 231,504

Step by Step Solution

1. Step 1: Write the proportion equation
   152,608 : 231,504 = 231,504 : x
2. Step 2: Convert to fraction form
   152,608/231,504 = 231,504/x
3. Step 3: Cross multiply
   152,608x = 231,504 × 231,504
4. Step 4: Simplify right side
   152,608x = 53,594,102,016
5. Step 5: Solve for x
   x = 53,594,102,016/152,608
6. Step 6: Final answer
   x = 351,188.02