Finding the Third Proportional to 177,566 and 380,404

Step by Step Solution

1. Step 1: Write the proportion equation
   177,566 : 380,404 = 380,404 : x
2. Step 2: Convert to fraction form
   177,566/380,404 = 380,404/x
3. Step 3: Cross multiply
   177,566x = 380,404 × 380,404
4. Step 4: Simplify right side
   177,566x = 144,707,203,216
5. Step 5: Solve for x
   x = 144,707,203,216/177,566
6. Step 6: Final answer
   x = 814,948.83