Finding the Third Proportional to 177,171 and 274,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,171 : 274,504.50 = 274,504.50 : x
2. Step 2: Convert to fraction form
   177,171/274,504.50 = 274,504.50/x
3. Step 3: Cross multiply
   177,171x = 274,504.50 × 274,504.50
4. Step 4: Simplify right side
   177,171x = 75,352,720,520.25
5. Step 5: Solve for x
   x = 75,352,720,520.25/177,171
6. Step 6: Final answer
   x = 425,310.69