Finding the Third Proportional to 177,002 and 382,180

Step by Step Solution

1. Step 1: Write the proportion equation
   177,002 : 382,180 = 382,180 : x
2. Step 2: Convert to fraction form
   177,002/382,180 = 382,180/x
3. Step 3: Cross multiply
   177,002x = 382,180 × 382,180
4. Step 4: Simplify right side
   177,002x = 146,061,552,400
5. Step 5: Solve for x
   x = 146,061,552,400/177,002
6. Step 6: Final answer
   x = 825,197.19