Finding the Third Proportional to 179,123 and 377,686

Step by Step Solution

1. Step 1: Write the proportion equation
   179,123 : 377,686 = 377,686 : x
2. Step 2: Convert to fraction form
   179,123/377,686 = 377,686/x
3. Step 3: Cross multiply
   179,123x = 377,686 × 377,686
4. Step 4: Simplify right side
   179,123x = 142,646,714,596
5. Step 5: Solve for x
   x = 142,646,714,596/179,123
6. Step 6: Final answer
   x = 796,361.80