Finding the Third Proportional to 80,826 and 176,336

Step by Step Solution

1. Step 1: Write the proportion equation
   80,826 : 176,336 = 176,336 : x
2. Step 2: Convert to fraction form
   80,826/176,336 = 176,336/x
3. Step 3: Cross multiply
   80,826x = 176,336 × 176,336
4. Step 4: Simplify right side
   80,826x = 31,094,384,896
5. Step 5: Solve for x
   x = 31,094,384,896/80,826
6. Step 6: Final answer
   x = 384,707.70