Finding the Third Proportional to 82,123 and 177,064

Step by Step Solution

1. Step 1: Write the proportion equation
   82,123 : 177,064 = 177,064 : x
2. Step 2: Convert to fraction form
   82,123/177,064 = 177,064/x
3. Step 3: Cross multiply
   82,123x = 177,064 × 177,064
4. Step 4: Simplify right side
   82,123x = 31,351,660,096
5. Step 5: Solve for x
   x = 31,351,660,096/82,123
6. Step 6: Final answer
   x = 381,764.67