Finding the Third Proportional to 81,838 and 179,290

Step by Step Solution

1. Step 1: Write the proportion equation
   81,838 : 179,290 = 179,290 : x
2. Step 2: Convert to fraction form
   81,838/179,290 = 179,290/x
3. Step 3: Cross multiply
   81,838x = 179,290 × 179,290
4. Step 4: Simplify right side
   81,838x = 32,144,904,100
5. Step 5: Solve for x
   x = 32,144,904,100/81,838
6. Step 6: Final answer
   x = 392,787.02