Finding the Third Proportional to 80,226 and 173,844

Step by Step Solution

1. Step 1: Write the proportion equation
   80,226 : 173,844 = 173,844 : x
2. Step 2: Convert to fraction form
   80,226/173,844 = 173,844/x
3. Step 3: Cross multiply
   80,226x = 173,844 × 173,844
4. Step 4: Simplify right side
   80,226x = 30,221,736,336
5. Step 5: Solve for x
   x = 30,221,736,336/80,226
6. Step 6: Final answer
   x = 376,707.51