Finding the Third Proportional to 177,049 and 274,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,049 : 274,141.50 = 274,141.50 : x
2. Step 2: Convert to fraction form
   177,049/274,141.50 = 274,141.50/x
3. Step 3: Cross multiply
   177,049x = 274,141.50 × 274,141.50
4. Step 4: Simplify right side
   177,049x = 75,153,562,022.25
5. Step 5: Solve for x
   x = 75,153,562,022.25/177,049
6. Step 6: Final answer
   x = 424,478.88