Finding the Third Proportional to 176,559.50 and 261,405

Step by Step Solution

1. Step 1: Write the proportion equation
   176,559.50 : 261,405 = 261,405 : x
2. Step 2: Convert to fraction form
   176,559.50/261,405 = 261,405/x
3. Step 3: Cross multiply
   176,559.50x = 261,405 × 261,405
4. Step 4: Simplify right side
   176,559.50x = 68,332,574,025
5. Step 5: Solve for x
   x = 68,332,574,025/176,559.50
6. Step 6: Final answer
   x = 387,022.92