Finding the Third Proportional to 176,864.50 and 381,738

Step by Step Solution

1. Step 1: Write the proportion equation
   176,864.50 : 381,738 = 381,738 : x
2. Step 2: Convert to fraction form
   176,864.50/381,738 = 381,738/x
3. Step 3: Cross multiply
   176,864.50x = 381,738 × 381,738
4. Step 4: Simplify right side
   176,864.50x = 145,723,900,644
5. Step 5: Solve for x
   x = 145,723,900,644/176,864.50
6. Step 6: Final answer
   x = 823,929.62