Finding the Third Proportional to 152,809 and 325,327

Step by Step Solution

1. Step 1: Write the proportion equation
   152,809 : 325,327 = 325,327 : x
2. Step 2: Convert to fraction form
   152,809/325,327 = 325,327/x
3. Step 3: Cross multiply
   152,809x = 325,327 × 325,327
4. Step 4: Simplify right side
   152,809x = 105,837,656,929
5. Step 5: Solve for x
   x = 105,837,656,929/152,809
6. Step 6: Final answer
   x = 692,614.03