Finding the Third Proportional to 152,824 and 336,096

Step by Step Solution

1. Step 1: Write the proportion equation
   152,824 : 336,096 = 336,096 : x
2. Step 2: Convert to fraction form
   152,824/336,096 = 336,096/x
3. Step 3: Cross multiply
   152,824x = 336,096 × 336,096
4. Step 4: Simplify right side
   152,824x = 112,960,521,216
5. Step 5: Solve for x
   x = 112,960,521,216/152,824
6. Step 6: Final answer
   x = 739,154.33