Finding the Third Proportional to 176,969 and 383,456

Step by Step Solution

1. Step 1: Write the proportion equation
   176,969 : 383,456 = 383,456 : x
2. Step 2: Convert to fraction form
   176,969/383,456 = 383,456/x
3. Step 3: Cross multiply
   176,969x = 383,456 × 383,456
4. Step 4: Simplify right side
   176,969x = 147,038,503,936
5. Step 5: Solve for x
   x = 147,038,503,936/176,969
6. Step 6: Final answer
   x = 830,871.53