Finding the Third Proportional to 177,544 and 382,150

Step by Step Solution

1. Step 1: Write the proportion equation
   177,544 : 382,150 = 382,150 : x
2. Step 2: Convert to fraction form
   177,544/382,150 = 382,150/x
3. Step 3: Cross multiply
   177,544x = 382,150 × 382,150
4. Step 4: Simplify right side
   177,544x = 146,038,622,500
5. Step 5: Solve for x
   x = 146,038,622,500/177,544
6. Step 6: Final answer
   x = 822,548.90