Finding the Third Proportional to 152,216 and 327,856

Step by Step Solution

1. Step 1: Write the proportion equation
   152,216 : 327,856 = 327,856 : x
2. Step 2: Convert to fraction form
   152,216/327,856 = 327,856/x
3. Step 3: Cross multiply
   152,216x = 327,856 × 327,856
4. Step 4: Simplify right side
   152,216x = 107,489,556,736
5. Step 5: Solve for x
   x = 107,489,556,736/152,216
6. Step 6: Final answer
   x = 706,164.64