Finding the Third Proportional to 152,096 and 328,768

Step by Step Solution

1. Step 1: Write the proportion equation
   152,096 : 328,768 = 328,768 : x
2. Step 2: Convert to fraction form
   152,096/328,768 = 328,768/x
3. Step 3: Cross multiply
   152,096x = 328,768 × 328,768
4. Step 4: Simplify right side
   152,096x = 108,088,397,824
5. Step 5: Solve for x
   x = 108,088,397,824/152,096
6. Step 6: Final answer
   x = 710,659.04