Finding the Third Proportional to 152,256 and 327,840

Step by Step Solution

1. Step 1: Write the proportion equation
   152,256 : 327,840 = 327,840 : x
2. Step 2: Convert to fraction form
   152,256/327,840 = 327,840/x
3. Step 3: Cross multiply
   152,256x = 327,840 × 327,840
4. Step 4: Simplify right side
   152,256x = 107,479,065,600
5. Step 5: Solve for x
   x = 107,479,065,600/152,256
6. Step 6: Final answer
   x = 705,910.21