Finding the Third Proportional to 81,804 and 176,496

Step by Step Solution

1. Step 1: Write the proportion equation
   81,804 : 176,496 = 176,496 : x
2. Step 2: Convert to fraction form
   81,804/176,496 = 176,496/x
3. Step 3: Cross multiply
   81,804x = 176,496 × 176,496
4. Step 4: Simplify right side
   81,804x = 31,150,838,016
5. Step 5: Solve for x
   x = 31,150,838,016/81,804
6. Step 6: Final answer
   x = 380,798.47