Finding the Third Proportional to 155,376 and 333,408

Step by Step Solution

1. Step 1: Write the proportion equation
   155,376 : 333,408 = 333,408 : x
2. Step 2: Convert to fraction form
   155,376/333,408 = 333,408/x
3. Step 3: Cross multiply
   155,376x = 333,408 × 333,408
4. Step 4: Simplify right side
   155,376x = 111,160,894,464
5. Step 5: Solve for x
   x = 111,160,894,464/155,376
6. Step 6: Final answer
   x = 715,431.56