Finding the Third Proportional to 333,096 and 722,352

Step by Step Solution

1. Step 1: Write the proportion equation
   333,096 : 722,352 = 722,352 : x
2. Step 2: Convert to fraction form
   333,096/722,352 = 722,352/x
3. Step 3: Cross multiply
   333,096x = 722,352 × 722,352
4. Step 4: Simplify right side
   333,096x = 521,792,411,904
5. Step 5: Solve for x
   x = 521,792,411,904/333,096
6. Step 6: Final answer
   x = 1,566,492.58