Finding the Third Proportional to 152,629 and 327,830

Step by Step Solution

1. Step 1: Write the proportion equation
   152,629 : 327,830 = 327,830 : x
2. Step 2: Convert to fraction form
   152,629/327,830 = 327,830/x
3. Step 3: Cross multiply
   152,629x = 327,830 × 327,830
4. Step 4: Simplify right side
   152,629x = 107,472,508,900
5. Step 5: Solve for x
   x = 107,472,508,900/152,629
6. Step 6: Final answer
   x = 704,142.13