Finding the Third Proportional to 80,741 and 177,034

Step by Step Solution

1. Step 1: Write the proportion equation
   80,741 : 177,034 = 177,034 : x
2. Step 2: Convert to fraction form
   80,741/177,034 = 177,034/x
3. Step 3: Cross multiply
   80,741x = 177,034 × 177,034
4. Step 4: Simplify right side
   80,741x = 31,341,037,156
5. Step 5: Solve for x
   x = 31,341,037,156/80,741
6. Step 6: Final answer
   x = 388,167.56