Finding the Third Proportional to 80,196.75 and 176,340.38

Step by Step Solution

1. Step 1: Write the proportion equation
   80,196.75 : 176,340.38 = 176,340.38 : x
2. Step 2: Convert to fraction form
   80,196.75/176,340.38 = 176,340.38/x
3. Step 3: Cross multiply
   80,196.75x = 176,340.38 × 176,340.38
4. Step 4: Simplify right side
   80,196.75x = 31,095,927,855.14
5. Step 5: Solve for x
   x = 31,095,927,855.14/80,196.75
6. Step 6: Final answer
   x = 387,745.49