Finding the Third Proportional to 152,960 and 328,064

Step by Step Solution

1. Step 1: Write the proportion equation
   152,960 : 328,064 = 328,064 : x
2. Step 2: Convert to fraction form
   152,960/328,064 = 328,064/x
3. Step 3: Cross multiply
   152,960x = 328,064 × 328,064
4. Step 4: Simplify right side
   152,960x = 107,625,988,096
5. Step 5: Solve for x
   x = 107,625,988,096/152,960
6. Step 6: Final answer
   x = 703,621.78