Finding the Third Proportional to 152,553 and 328,065

Step by Step Solution

1. Step 1: Write the proportion equation
   152,553 : 328,065 = 328,065 : x
2. Step 2: Convert to fraction form
   152,553/328,065 = 328,065/x
3. Step 3: Cross multiply
   152,553x = 328,065 × 328,065
4. Step 4: Simplify right side
   152,553x = 107,626,644,225
5. Step 5: Solve for x
   x = 107,626,644,225/152,553
6. Step 6: Final answer
   x = 705,503.30