Finding the Third Proportional to 80,905 and 176,014

Step by Step Solution

1. Step 1: Write the proportion equation
   80,905 : 176,014 = 176,014 : x
2. Step 2: Convert to fraction form
   80,905/176,014 = 176,014/x
3. Step 3: Cross multiply
   80,905x = 176,014 × 176,014
4. Step 4: Simplify right side
   80,905x = 30,980,928,196
5. Step 5: Solve for x
   x = 30,980,928,196/80,905
6. Step 6: Final answer
   x = 382,929.71