Finding the Third Proportional to 152,904 and 324,384

Step by Step Solution

1. Step 1: Write the proportion equation
   152,904 : 324,384 = 324,384 : x
2. Step 2: Convert to fraction form
   152,904/324,384 = 324,384/x
3. Step 3: Cross multiply
   152,904x = 324,384 × 324,384
4. Step 4: Simplify right side
   152,904x = 105,224,979,456
5. Step 5: Solve for x
   x = 105,224,979,456/152,904
6. Step 6: Final answer
   x = 688,176.76