Finding the Third Proportional to 176,266.50 and 384,105

Step by Step Solution

1. Step 1: Write the proportion equation
   176,266.50 : 384,105 = 384,105 : x
2. Step 2: Convert to fraction form
   176,266.50/384,105 = 384,105/x
3. Step 3: Cross multiply
   176,266.50x = 384,105 × 384,105
4. Step 4: Simplify right side
   176,266.50x = 147,536,651,025
5. Step 5: Solve for x
   x = 147,536,651,025/176,266.50
6. Step 6: Final answer
   x = 837,009.02