Finding the Third Proportional to 152,648 and 328,624

Step by Step Solution

1. Step 1: Write the proportion equation
   152,648 : 328,624 = 328,624 : x
2. Step 2: Convert to fraction form
   152,648/328,624 = 328,624/x
3. Step 3: Cross multiply
   152,648x = 328,624 × 328,624
4. Step 4: Simplify right side
   152,648x = 107,993,733,376
5. Step 5: Solve for x
   x = 107,993,733,376/152,648
6. Step 6: Final answer
   x = 707,469.04