Finding the Third Proportional to 176,161.50 and 381,024

Step by Step Solution

1. Step 1: Write the proportion equation
   176,161.50 : 381,024 = 381,024 : x
2. Step 2: Convert to fraction form
   176,161.50/381,024 = 381,024/x
3. Step 3: Cross multiply
   176,161.50x = 381,024 × 381,024
4. Step 4: Simplify right side
   176,161.50x = 145,179,288,576
5. Step 5: Solve for x
   x = 145,179,288,576/176,161.50
6. Step 6: Final answer
   x = 824,126.09