Finding the Third Proportional to 164,280 and 383,916

Step by Step Solution

1. Step 1: Write the proportion equation
   164,280 : 383,916 = 383,916 : x
2. Step 2: Convert to fraction form
   164,280/383,916 = 383,916/x
3. Step 3: Cross multiply
   164,280x = 383,916 × 383,916
4. Step 4: Simplify right side
   164,280x = 147,391,495,056
5. Step 5: Solve for x
   x = 147,391,495,056/164,280
6. Step 6: Final answer
   x = 897,196.83